f) Two cars, one traveling 10 km faster tha the other car, start at the same time from the same point and travel in opposit directions. In 3 hours, they are 300 kr apart. Find the speed of each car in kn hour.
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Answer:
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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
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