Question

Shubham travels 760 km to his home partly by train and partly by Car. He takes 8 hours if he travels
160 km by train and the rest by Car. He takes 12 minute more if he travels 240 km by train and the
reset by Car. Find the speed of the train & the Car respectively (in km/hr).
(A) 40, 80
(B) 60, 120
(C) 80,100
(D) 100,120​

Answer 1

Answer:

Let the speed of train be xkm/hr

and the speed car be ykm/hr respectively.

We know that Speed=TimeDistance⇒Time=SpeedDistance

In Case 1 

Distance travelled by train = 160km

Distance travelled by car = (760-160)km = 600km 

Time taken by train+Time taken by car = 8 hours

Hence the equation becomes

x160+y600=8

In case 2

Distance travelled by train = 240km

Distance travelled by car = (760-240)km = 520km

Time taken by train+Time taken by car = 8 hours+12 minutes

Hence the equation becomes

x240+y520=541......(2)

Hence we get two equations

x160+y600=8.........(1)x240+y520=541......(2)

Letx1=pandy1=q

Hence we get equations