Question

If a train runs 60 kilometre per hour it reaches the destination late by 15 minutes . But if it runs at 85 kilometre. per hour it is late by only four minutes . Find the distance covered​

Answer 1

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

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