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Question 35481: 1. Points A and B are 100 km apart on a highway. One car starts from A and another from B at same time. If the cars travel in the same direction at a constant speed,they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! . Points A and B are 100 km apart on a highway. One car starts from A and another from B at same time. If the cars travel in the same direction at a constant speed,they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
LET THE SPEEDS OF THE CAR BE X AND Y KMPH
CASE 1.
WHEN GOING IN SAME DIRECTION
RELATIVE SPEED =X-Y
DISTANCE =100 KM
TIME =100/(X-Y)=5 HRS
X-Y=100/5=20.............................I
CASE 2.
WHEN GOING IN OPPOSITE DIRECTION
RELATIVE SPEED =X+Y
TIME =100/(X+Y)=1 HRS
X+Y=100......................II
EQN.I+EQN.II
2X=120
X=120/2=60
Y=100-X=100-60=40
HENCE SPEEDS OF 2 CARS ARE 60 AND 40 KMPH
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