Question

It takes 8 hour for a 600 km Journey, if 120 km is done by train and the rest by car. It takes 20 minuts more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is? Help Post

Answer 1

Answer:

3:4

Step-by-step explanation:

Description for Correct answer:

Let the speed of the train be x km/h and car be y km/h.

Then , 120x120x + 480y480y = 8 ........(i)

and 200x200x + 400y400y = 253253 ......(ii)

From Eqs.(i) 120y + 480 x = 8xy

From Eqs.(ii) 200y + 400x = 253253xy

∴∴ 120y+480x8120y+480x8

= 3(200y+400x)253(200y+400x)25

=> 25 y + 60 x = 24 y + 48 x

=> 12 x = 9 y

=> xyxy = 3434

= x : y = 3 : 4