Question

Rahim travels 600 km to his home partly by train and partly by car. He takes 8 hours
if he travels 120 km by train and rest by car. He takes 20 minutes more if he travels
200 km by train and rest by car. Find the speed of the train and the car.
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Answer 1

Step-by-step explanation:

let x=speed of train

let y=speed of car

travel time=distance/speed

..

120/x+480/y=8

200/x+400/y=8+1/3=25/3

..

let u=1/x

let v=1/y

..

120u+480v=8

200u+400v=25/3

..

120u+480v=8

600u+1200v=25

..

600u+2400v=40 (multi. by 5)

600u+1200v=25

subtract

1200v=15

v=15/1200

y=1/v=1200/15=80

..

120u=8-480v=8-(480*15/1200)=8-6=2

u=2/120=1/x

x=120/2=60

..

ans:

speed of train=60 km/hr

speed of car=80 km/hr

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