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.

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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

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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.