Question

the man Travels 370 km partly by train and partly by car if he covers 250 km by train and the rest by car he takes 4 hour but if we travel 130 km by train and the rest by cars take 18 minutes longer find the speed of the train and car

Answer 1

Let the speed of the car be C kmph
Let the speed of the train be T kmph

4 hours = 250 km / T kmph + (370 - 250) km / C kmph

4 = 250/T + 120/C -- equation 1

4 hrs 18 minutes = 130 km / T kmph + (370 - 130)km / C kmph
258/60 = 4.3 = 130 / T + 240 / C --- equation 2

Multiply equation 1 by 2 and subtract equation 2 from it.

8 - 4.3 = 500/T - 130/T + 240/C - 240/C

3.7 = 370 / T

T = 370/3.7 = 100 kmph

Substitute the value of T in equation 1 to get,

4 = 250/T + 120/C -- equation 1
4 = 250/100 + 120/C
4 - 2.5 = 120/C

C = 120/1.5 = 80 kmph

The train runs at 100 kmph and the car runs at 80 kmph