Question

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Places A and B are 100km 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 5hours.If they travel towards each other, they meet in 1hour.What are the speeds of the two cars?​

Answer 1

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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

The difference of speeds is 60−40=20

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Answer 2

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

$\huge\frac{x+y=100}{2x=120}$

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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