Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time at different speeds. If the cars travel in the same direction, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
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Speed of two cars = u and v
Respective speed of two cars which goes in the same directions = 5(u-v)=100
u - v - = 20km/hr
speed of two cars which goes towards each other = 1(u+v)=100
u+v = 100
now we have two equations
u - v = 20
u + v = 100
so u - v + u +v = 120
2u = 120
u = 60
u + v = 100
v = 100 - 60 =40
Speed of one car is 60km/hr and the spead other car is 40k/hr
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