Question

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

PLEASE SOLVE THIS I WILL MARK AS BRAINLIEST.

Answer 1

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

Answer 2

average speed =600/8=75km/hr

train covers 120km

but,if it will cover200km then

more distance will be 200-120=80km

now speed of train=80÷20/60=240km/hr

now

speed of car=1/average speed -1/speed of train

=1/75-1/240

=1200/11km/hr