If man covers 250km by train and rest by bus it takes him 4 hours but if he travels 130km by train and rest by bus...

Question

A man travels 370km partly by train and partly by bus.
If he covers 250km by train and rest by bus it takes him 4 hours but if he travels 130km by train and rest by bus he takes 18 minutes longer find the speed of train and that of bus?

Answer 1

Answer 2

let the speed of train be v1 and bus v2 m/min, we have two equations
250000/v1 +120000/v2=240
130000/v1 +240000/v2=258
let 1/v1=b1 and 1/v2=b2 the above equations become
250000b1 +120000b2=240
130000b1 +240000b2.2=258
solution gives b1=0.0006 and b2=0.00075 invert v1=1666.666 and v2=1333.333 m/min convert to km/hr gives 100 and 80 kmph