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Time and Distance - Quant/Math - CAT 2010
Question 4 the day:
May 19, 2003
The question for the day is from the topic of Time and Distance.
- A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
| (1) |
20 kms |
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(2) |
25 kms |
| (3) |
45 kms |
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(4) |
40 kms |
Correct Answer - (2)
Solution:
Let 'd' be the distance between the stations X and Y.
Time taken by the passenger train to cover the distance 'd' = d/60 hour
Time taken by the goods train to cover the distance 'd' = d/20 hour
Time difference between these two trains is given by 50 minutes or 50/60 hour
i.e., d/20 –d/60 = 50/60
d = 25kms.
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