Calculate the difference in the original time taken as given above in condition to meet train A and B and the time taken by train B to catch train A if the train A had started in same direction as that of B . Train B had started in same direction started 2 hrs after train A while going in same direction .

Options

A. 45 hrs 40 min.
B. 24 hrs 20 min.
C. 55 hrs . 30 min.
D. 49 hrs . 45 min.

Answer

D

Explanation

In `(1)/(2)` h train A will cover = 27 km
Distance between P and Q
`= (480 + 40 + 27)` km
= 27 + 520
= 547 km
Total time taken in given condition
`= ((1)/(2) + (13)/(3)) h = (29)/(6) h`
New time taken according to condition
`(547 + 2 xx 54)/((66-54))`
`= (655)/(12) h`
Required difference in time = `(655)/(12) - (29)/(6) = (597)/(12)`
= 49 hour 45 min.