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On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.
- a)4 min
- b)2.5 min
- c)1.5 min
- d)Patient died before reaching the hospital
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
On a 20 km tunnel connecting two cities A and B, there are three gutte...
Distance AG1 = BG3 = 30 x 5/60 = 2.5 km.
∴ Distance G1G3 = (20 - 2.5 - 2.5) = 15 km.
Given, G1G2 : G2G3 = 1 : 2
∴ G1G2 = 5 km. and G2G3 = 10 km.
Now time taken from reaching A to G3 and back to A
Form A to G1 = 5 min (given)
∴ Distance G1G3 = (20 - 2.5 - 2.5) = 15 km.
Given, G1G2 : G2G3 = 1 : 2
∴ G1G2 = 5 km. and G2G3 = 10 km.
Now time taken from reaching A to G3 and back to A
Form A to G1 = 5 min (given)
From G1 to G3 = 15/60 x 60 = 15 min
From G3 to A 17.5/60 x 60 = 17.5 min
and time elasped for taking the patient into and out of the ambulance = 1 min.
Total time taken = (5 + 15 + 17.5 + 1) = 38.5
Remaining time = (40 - 38.5) = 1.5 min
From G3 to A 17.5/60 x 60 = 17.5 min
and time elasped for taking the patient into and out of the ambulance = 1 min.
Total time taken = (5 + 15 + 17.5 + 1) = 38.5
Remaining time = (40 - 38.5) = 1.5 min
Most Upvoted Answer
On a 20 km tunnel connecting two cities A and B, there are three gutte...
Given information:
- A 20 km tunnel connects two cities A and B.
- There are three gutters in the tunnel.
- Distance between gutter 1 and 2 is half the distance between gutter 2 and 3.
- Distance from city A to gutter 1 is equal to distance from city B to gutter 3.
- An accident has happened at gutter 3 and the victim can be saved only if an operation is started within 40 minutes.
- An ambulance started from city A at 30 km/hr and crossed gutter 1 after 5 minutes.
- The driver doubled the speed after crossing gutter 1.
To find:
- Maximum amount of time the doctor would get to attend the patient at the hospital.
Solution:
1. Calculate the distance between gutters:
- Let the distance between gutter 1 and 2 be x km.
- Then, the distance between gutter 2 and 3 is 2x km.
- Total distance between gutter 1 and 3 is 3x km, which is equal to 20 km.
- Therefore, x = 20/3 km and 2x = 40/3 km.
2. Calculate the distance covered by the ambulance:
- After crossing gutter 1, the ambulance travels a distance of 20 - (20/3) = 40/3 km to reach gutter 3.
- Total distance covered by the ambulance is (20/3) + (40/3) = 20 km.
3. Calculate the time taken by the ambulance:
- The ambulance travels the first (20/3) km at 30 km/hr, which takes (20/3)/(30/60) = 4 minutes.
- After doubling the speed, the ambulance travels the remaining (20/3) km at 60 km/hr, which takes (20/3)/(60/60) = 20/9 minutes.
- Total time taken by the ambulance is 4 + 20/9 + 2 = 26/9 minutes.
4. Calculate the time available for the doctor:
- The time available for the doctor is 40 - 1 - (26/9) = 29/9 minutes.
5. Convert the time into minutes and seconds:
- 29/9 minutes = 3 minutes and 14 seconds.
Therefore, the maximum amount of time the doctor would get to attend the patient at the hospital is 1.5 minutes (option C).
- A 20 km tunnel connects two cities A and B.
- There are three gutters in the tunnel.
- Distance between gutter 1 and 2 is half the distance between gutter 2 and 3.
- Distance from city A to gutter 1 is equal to distance from city B to gutter 3.
- An accident has happened at gutter 3 and the victim can be saved only if an operation is started within 40 minutes.
- An ambulance started from city A at 30 km/hr and crossed gutter 1 after 5 minutes.
- The driver doubled the speed after crossing gutter 1.
To find:
- Maximum amount of time the doctor would get to attend the patient at the hospital.
Solution:
1. Calculate the distance between gutters:
- Let the distance between gutter 1 and 2 be x km.
- Then, the distance between gutter 2 and 3 is 2x km.
- Total distance between gutter 1 and 3 is 3x km, which is equal to 20 km.
- Therefore, x = 20/3 km and 2x = 40/3 km.
2. Calculate the distance covered by the ambulance:
- After crossing gutter 1, the ambulance travels a distance of 20 - (20/3) = 40/3 km to reach gutter 3.
- Total distance covered by the ambulance is (20/3) + (40/3) = 20 km.
3. Calculate the time taken by the ambulance:
- The ambulance travels the first (20/3) km at 30 km/hr, which takes (20/3)/(30/60) = 4 minutes.
- After doubling the speed, the ambulance travels the remaining (20/3) km at 60 km/hr, which takes (20/3)/(60/60) = 20/9 minutes.
- Total time taken by the ambulance is 4 + 20/9 + 2 = 26/9 minutes.
4. Calculate the time available for the doctor:
- The time available for the doctor is 40 - 1 - (26/9) = 29/9 minutes.
5. Convert the time into minutes and seconds:
- 29/9 minutes = 3 minutes and 14 seconds.
Therefore, the maximum amount of time the doctor would get to attend the patient at the hospital is 1.5 minutes (option C).
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On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer?
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On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer?.
On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer?.
Solutions for On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice On a 20 km tunnel connecting two cities A and B, there are three gutters. The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1 is equal to the distance of city B from gutter 3. On a particular day the hospital in city A receives information that an accident has happened at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance started from city A at 30 km/hr and crossed the first gutter after 5 minutes. If the driver had doubled the speed after that, what is the maximum amount of time the doctor would get to attend the patient at the hospital. Assume 1 minute is elapsed for taking the patient into and out of the ambulance.a)4 minb)2.5 minc)1.5 mind)Patient died before reaching the hospitalCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Railways tests.
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