Question

places A and B are 30 km apart and there on a straight road Hamid travels from A to B on bike at the same time Joseph starts from b on bike travels towards a they meet each other after 20 minutes if Joseph would have started from B at the same time but in the opposite direction instead of towards a hamid would have called him after 3 hours find the speed of Hamid and Joseph

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Ramesh answered 4 year(s) ago

Places A and B are 100 km. apart on a highway.One car starts from A and another from B at the same time.If the cars travel in the same direction at different speeds,they meet in 5 hours.If they travel

Q4.(iv)

places A and B are 100 km. apart on a highway.One car starts from A and another from B at the same time.If the cars travel in the same direction at different speeds,they meet in 5 hours.If they travelled towards each other,they meet in 1 hoyr.What are the speeds of the two cars?

Class-X Maths

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Asked by Manmohan

May 18

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Ramesh , SubjectMatterExpert

Member since Apr 01 2014

Sol:
Let the speeds of the cars be x km/hr and y km/hr

Case 1:
When the cars are going in the same direction
Relative speed = x - y
Distance = 100 km
Time = 100 / (x - y) = 5 hrs
x - y = 100 / 5=20
x – y = 20 ------------- (1)

Case 2:
When the cars are going in the opposite direction
Relative speed = x + y
Time =100 / (x + y) = 1 hrs
x + y = 100 ------------- (2)

Solving the equations (1) and (2),
x = 60
y = 40
Hence the speeds of the cars are 60 km/hr and 40 km/hr.