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My quUJUUNIS we were in the test?(iv) Places A and B are 100 km apart on a highway. One car starts from A and anotherfrom B at the same time. If the cars travel in the same direction at different speeds,they meet in 5 hours. If they travel towards each other, they meet in 1 hour. Whatare the speeds of the two cars? |
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Answer» Answer: Let the speed of car at A be x kmph and the speed of car at B be y kmph when the car travel in same direction RELATIVE Speed is x−y Dist=100km t=5 hours ∴ Dist =S×T 100=(x−y)5 x−y=20⟶(I) when car travel in opp direction Relative Speed is x+y Dist=100km t=1 hours Dist=ST 100=(x+y)1 x+y=100⟶(II) Solving (I) & (II) x−y=20 x+y=100
2x=120 x=60km/h y=40km/h Speed of the car at A =60 km/h Speed of the car at B=40 km/h The DIFFERENCE of speeds is 60−40=20 |
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