Question

A man travels 370 km partly by train and partly by car. If he covers 250 km by train and rest by car, he takes 18 minutes longer. Find the speed of train and that of car.

Answer 1

Total Distance = 370 km

let speed of train= x km/h

speed of car = y km/h

Case 1 :

Distance travel by train = 250 km

Time taken to cover this distance = (250x) hour

Distance travel by car = 370-250 = 120 km

Time Taken to cover this distance = (120y) hour

Total time = 4 hours

So, 250x+120y=4

=> 250y+120x=4xy ............... (1)

Case 2 :
Distance travel by train = 130 km

Time taken to cover this distance = (130x) hour

Distance travel by car = 370-130 = 240 km

Time Taken to cover this distance = (240y) hour

Total time = 4 hours and 18 mintues = (4310) hours

So, 130x+240y=4310

=> 1300y+2400x=43xy ............... (2)

Multilply eq(1) by 20, we get

=> 5000y+2400x=80xy .......... (3)

Subtract (2) from (3), we get

=> 3700 y = 37xy

=> 37x = 3700

=> x = 100

Put value of x in eq(1). we get

=> 250y + 12000 = 400y

=> 12000 = 150y

=> y = 80

So Speed of train = 100 km/h

Speed of car = 80 km/h

Answer 2

Answer:

speed of car is 80km/hr

Step-by-step explanation:

hope it helps u