Two places A and B are 240 Km apart on a highway. A car starts from place A and another from place B at the same time. If the cars move in the same direction at different speeds, they meet in 6 hours. If they travel towards each other they meet in one hour 30 minutes, find the speed of both the cars.
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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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