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A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is the original speed of the Car?
- a)20 km/hr
- b)40 km/hr
- c)60 km/hr
- d)80 km/hr
- e)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A car started from Indore to Bhopal at a certain speed. The Car missed...
(x+40/s) + 5/4 = 40/s + 5x/4s — — — 1
(x+40/s) + 1 = 80/s + 5(x-40)/4s — — — 2
s = 40
Most Upvoted Answer
A car started from Indore to Bhopal at a certain speed. The Car missed...
Problem Analysis:
- A car starts from Indore to Bhopal at a certain speed.
- The car misses an accident at 40 km away from Indore and reduces the speed to 4/5 of the original speed. Due to this, the driver reaches Bhopal by a late of 1 hr 15 min.
- If the car missed an accident at 80 km away from Indore and then maintained 4/5 of the original speed, then the driver would reach Bhopal by a late of 1 hour.
- We need to find the original speed of the car.
To solve this problem, we need to use the formula:
Time = Distance / Speed
Solution:
Let the original speed of the car be 'S'.
Let the distance between Indore and Bhopal be 'D'.
Case 1: The car misses an accident at 40 km away from Indore.
- The distance between the accident spot and Bhopal is (D - 40) km.
- The time taken to cover this distance at the reduced speed of 4S/5 is:
Time = (D - 40) / (4S/5) = (5/4) * (D - 40) / S
Case 2: The car misses an accident at 80 km away from Indore.
- The distance between the accident spot and Bhopal is (D - 80) km.
- The time taken to cover this distance at the reduced speed of 4S/5 is:
Time = (D - 80) / (4S/5) = (5/4) * (D - 80) / S
Given that the difference in time taken in both cases is 1 hr and 15 min (i.e., 1.25 hours).
(5/4) * (D - 40) / S - (5/4) * (D - 80) / S = 1.25
Simplifying and solving for 'S', we get:
S = 40 km/hr
Therefore, the original speed of the car is 40 km/hr.
Final Answer: Option B
- A car starts from Indore to Bhopal at a certain speed.
- The car misses an accident at 40 km away from Indore and reduces the speed to 4/5 of the original speed. Due to this, the driver reaches Bhopal by a late of 1 hr 15 min.
- If the car missed an accident at 80 km away from Indore and then maintained 4/5 of the original speed, then the driver would reach Bhopal by a late of 1 hour.
- We need to find the original speed of the car.
To solve this problem, we need to use the formula:
Time = Distance / Speed
Solution:
Let the original speed of the car be 'S'.
Let the distance between Indore and Bhopal be 'D'.
Case 1: The car misses an accident at 40 km away from Indore.
- The distance between the accident spot and Bhopal is (D - 40) km.
- The time taken to cover this distance at the reduced speed of 4S/5 is:
Time = (D - 40) / (4S/5) = (5/4) * (D - 40) / S
Case 2: The car misses an accident at 80 km away from Indore.
- The distance between the accident spot and Bhopal is (D - 80) km.
- The time taken to cover this distance at the reduced speed of 4S/5 is:
Time = (D - 80) / (4S/5) = (5/4) * (D - 80) / S
Given that the difference in time taken in both cases is 1 hr and 15 min (i.e., 1.25 hours).
(5/4) * (D - 40) / S - (5/4) * (D - 80) / S = 1.25
Simplifying and solving for 'S', we get:
S = 40 km/hr
Therefore, the original speed of the car is 40 km/hr.
Final Answer: Option B
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A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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ample number of questions to practice A car started from Indore to Bhopal at a certain speed. The Car missed an accident at 40Kms away from Indore, then the driver decided to reduce Car speed to 4/5 of the original speed. Due to this, he reached Bhopal by a late of 1hr 15min.Suppose if he missed an accident at 80Km away from Indore and from then he maintained 4/5 of original speed then he would reach Bhopal by a late of 1hour. Then what is theoriginal speed of the Car?a)20 km/hrb)40 km/hrc)60 km/hrd)80 km/hre)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
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