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In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.
- a)4 minutes
- b)2.5 minutes
- c)1.5 minutes
- d)The patient died before reaching the hospital.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In a 20 km long tunnel connecting two cities A and B, there are three ...
Given Information:
- Distance between cities A and B: 20 km
- Three gutters in the tunnel: Gutters 1, 2, and 3
- Distance between gutter 1 and 2 = x
- Distance between gutter 2 and 3 = 2x
- Distance from city A to gutter 1 = Distance from city B to gutter 3
Calculation:
- Let's assume the distance between city A and gutter 1 is y km. So, the distance between city B and gutter 3 is also y km.
- Therefore, the total distance between city A and gutter 3 is (20 - 2y) km.
- The ambulance travels at 30 km/hr, so it covers the distance of y km in 5 minutes.
- After the first 5 minutes, the ambulance doubles its speed, covering the remaining distance at 60 km/hr.
- The time taken to cover the remaining distance of (20 - 2y) km at 60 km/hr is (20 - 2y) / 60 hours.
Time Calculation:
- Total time taken = Time taken in the first leg (5 minutes) + Time taken in the second leg ((20 - 2y) / 60 hours) + 1 minute for loading/unloading
- Total time taken = 5 minutes + (20 - 2y) / 60 hours + 1 minute
Given condition:
- The patient can be saved only if the operation is started within 40 minutes.
- Therefore, the maximum amount of time the doctor will get to attend the patient before starting the operation is 40 minutes - Total time taken.
Therefore, the maximum amount of time the doctor will get to attend the patient before starting the operation is 40 minutes - (5 minutes + (20 - 2y) / 60 hours + 1 minute) = 1.5 minutes.
Therefore, the correct answer is option C) 1.5 minutes.
- Distance between cities A and B: 20 km
- Three gutters in the tunnel: Gutters 1, 2, and 3
- Distance between gutter 1 and 2 = x
- Distance between gutter 2 and 3 = 2x
- Distance from city A to gutter 1 = Distance from city B to gutter 3
Calculation:
- Let's assume the distance between city A and gutter 1 is y km. So, the distance between city B and gutter 3 is also y km.
- Therefore, the total distance between city A and gutter 3 is (20 - 2y) km.
- The ambulance travels at 30 km/hr, so it covers the distance of y km in 5 minutes.
- After the first 5 minutes, the ambulance doubles its speed, covering the remaining distance at 60 km/hr.
- The time taken to cover the remaining distance of (20 - 2y) km at 60 km/hr is (20 - 2y) / 60 hours.
Time Calculation:
- Total time taken = Time taken in the first leg (5 minutes) + Time taken in the second leg ((20 - 2y) / 60 hours) + 1 minute for loading/unloading
- Total time taken = 5 minutes + (20 - 2y) / 60 hours + 1 minute
Given condition:
- The patient can be saved only if the operation is started within 40 minutes.
- Therefore, the maximum amount of time the doctor will get to attend the patient before starting the operation is 40 minutes - Total time taken.
Therefore, the maximum amount of time the doctor will get to attend the patient before starting the operation is 40 minutes - (5 minutes + (20 - 2y) / 60 hours + 1 minute) = 1.5 minutes.
Therefore, the correct answer is option C) 1.5 minutes.
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In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer?
Question Description
In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer?.
In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer?.
Solutions for In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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ample number of questions to practice In a 20 km long 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 occurred at the third gutter. The victim can be saved only if an operation is started within 40 minutes. An ambulance starts from city A at 30 km/hr and crosses the first gutter after 5 minutes. If the driver doubles the speed after that, then what is the maximum amount of time the doctor will get to attend the patient at the hospital before starting the operation. Assume 1 minute elapses in taking the patient into and out of the ambulance.a)4 minutesb)2.5 minutesc)1.5 minutesd)The patient died before reaching the hospital.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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