Question

Seema travels 150 km to Delhi partly by train and partly by bus.She takes 2 hours , if she travels 30km by train and remaining by bus. If she travels 50km by train and remaining by busshe takes 5 mins longer.Find the speed of the train and of bus​

Answer 1

Answer:

let the speed of train and bus be u km/hr and v km/hr

according to the question :-

60/u + 240/v = 4 -------(I)

100/u + 200/u = 4 +10/ 60= 25/6 ----(II)

let 1/u = p and 1/v = q

the given equation reduce to

60p +240p =4 -----(III)

100p+ 200q = 25/6

600p + 2400p = 40 ------ (IV)

substating equation (IV) and (V)

1200q = 15

q = 15/1200 = 1/80

substating value of q in equation (III)

60p+ 3 = 4

60p = 1

p= 1/u = 1/60 , q = 1/v = 1/80

u = 60 km/h

v= 80 km/h

the speed of the train and the speed of bus are 60km/h and 80km/h