Question 11

Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Open in App

Solution

Let the speed of train be x km/hr and that of bus is y km/hr.
so acc to ques. and using D=S/T
60/x+240/y=4........(1)
100/x+200/y=25/6.....(2)
now put 1/x=u and 1/y=v
60u+240v=4
15u+60v=1......(3)
100u+200v=25/6
u+2v=1/24......(4)
multiplying (4) by 15
15u+30v=5/8......(5)
subtracting (5) from (3)
30v=3/8
v=1/80 this implies y=1/v=80km/hr
put v=1/80 in (4)
u+2*1/80=1/24
u+1/40=1/24
u=1/24-1/40
u=2/120
u=1/60 this implies x=1/u=60 km/hr
hence speed of train=60km/hr and that of bus =80km/hr

Suggest Corrections

Similar questions

Q. Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Shweta travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately. [4 MARKS]

Q. Kimi travels 300 km to her home partly by bus and partly by train. She takes 4 hours if she travelled 60 km by train and remaining by bus. If she travelled 100 km by train and remaining by bus, She would take 10 minutes longer. Find average speed of bus and train.

Question 2 (iii)
Formulate the following problems as a pair of equations, and hence find their solutions:
Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Question 2 (iii)
Formulate the following problems as a pair of equations, and hence find their solutions:
Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Question 11 Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Question 11

Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.