Question

ii. 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.​

Answer 1

................................43km/hr

Answer 2

Answer:

60,80

Step-by-step explanation:

let speed of train be' a' km/hr & of car it be 'b 'km/hr

120/a + 480/b = 8

15/a + 60/b = 1

200/a + 400/b = 8+ 20/60 = 25/3

8/a + 16/b = 1/3

/a + /b = 1 ,let 1/a = x & 1/b = y

15x + 60y = 1 --(1) , 8x + 16y = 1/3 --(2)

multiply eq. (1) by 15 & (2) by 8

120x + 480y = 8 , 120x + 240y = 5

on subtracting , we get

240y = 3 => y = 1/80 & x = 1/60

1/b=1/80 =>b = 80 km/hr (car),

& 1/a = 1/60 => a = 60 km/hr (train)