If a train runs at 60 km/hr it reaches its destination late by 15 minutes. But, if it runs at 85 kmph it is late by only 4 minutes . Find the distance to be covered by the train
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Answer:
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Step-by-step explanation:
Let say Distance to be covered = D km
and Time Taken = T min
Time taken with 60 km/hr speed = D/60 hr
= D min
D = T + 15 (as Train reaches 15 Min Late)
=> T = D - 15
Time taken with 85 km/hr speed = D/85 hr
= D*60/85 min
= 12D/17
12D/17 = T + 4 (as Train reaches 4 Min Late)
=> T = 12D/17 - 4
Equating
D - 15 = 12D/17 - 4
=> D - 12D/17 = 11
=> 5D = 17 * 11
=> D = 17 * 11/5
=> D = 37.4
So distance is 37.4 km
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