Train A whose length is 345 m can cross a pole in 23 seconds If the speed of train A is increased by...........

Quantitative Aptitude(IBPS CL) Problems on trains

Train A whose length is 345 m can cross a pole in 23 seconds. If the speed of train A is increased by 50% the time taken by train A to cross the platform is 24 seconds. What is the ratio of the length of train A to the length of the platform?

10 : 7

23 : 13

15 : 9

24 : 17

None of these

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Explanation:

Speed of the train A = 345/23 = 15 m/s
New speed of train A = 15 × 1.50 = 22.5 m/s
Let the length of the platform be x m.
According to the data provided in the question, we get:
22.5 =(345 + x)/24
⇒ 540 = 345 + x
⇒ x = 195
Required ratio = 345 : 195 = 23 : 13