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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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Roohi travels 300 km to her home partly by train and partly by bus. Sh...
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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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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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.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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