Question

if a train runs at 60KM/hr if reaches its destination late by 15 minutes. but, if if runs at 85 kmph is late by only 4minutes. find the distance to be covered by the train
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Answer 1

We know that,

Time = Distance/Speed

In the first case,

15 mins late = 1/4 hrs late =Distance (D)/60

In the second case,

4 mins late =1/15 hrs late = D/75

Since D remains the same in both the cases

Therefore,

D/60-1/4 = D/85-1/15

D/60-D/85 = 1/4-1/15=15-4/60=11/60,

D(17-12)/1020=11/60

5D/1020=11/60

5D×60=1020×11

D=1020×11/5×60

D=37.4 km

Ans: Distance covered by the train was 37.4 km.