Find the total time taken by train to cover distance from A to D on Tuesday ........

Quantitative Aptitude(IBPS PO) Case Studies

Direction (): Read the data given below carefully and answer the questions.
A train running between four stations i.e. A, B, C & D on Monday and Tuesday. The average speed of train on Monday during whole journey is 50 kmph and average speed of train on Tuesday during whole journey is 62.5 kmph. On Monday train takes one hour less to cover distance between A and B as compare to that of on Tuesday. Train takes equal time to cover distance between B to C on both the given days, while train takes three hours more to cover distance between C and D as compare to that of on Tuesday. The distance between A and B is 40% less than that of between C and D. The distance between B and C is 50% more than that of between A and B.
Note - There is not any halt or stoppage from the station A to D.

Find the total time taken by train to cover distance from A to D on Tuesday?

6 hours

8 hours

10 hours

12 hours

4 hours

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Explanation:

Given average speed of train on Monday during whole journey = 50 kmph
Or, Average speed of train on Tuesday during whole journey = 62.5 kmph = 125/2 km/h
Let time taken by train on Monday from A to B = t hours
So, time taken by train on Tuesday from A to B = (t + 1) hours
Time taken by train on each given day from B to C = u hours (given, train takes equal time to cover distance between B to C on both the given days)
And, time taken by train on Monday from C to D = v hours
Time taken by train on Tuesday from C to D = (v – 3) hours
Let distance between C to D = 100x km

From above explanation
From (i) put the value of (t + u + v) and we get –
(t +u + v −2) = 5x − 2
Total required time by train to cover distance from A to D on Tuesday = (5x – 2) = (5 ×2−2)=8 hours