Two cities A and B are at a distance of 200 kilometres apart along a highway.A car from A and a car from B start together.If they move in the same direction they meet in 10 hours.If they move towards each othe Two cities A and B are at a distance of 200 kilometres apart along a highway.A car from A and a car from B start together.If they move in the same direction they meet in 10 hours.If they move towards each other they meet in 2 hours.Assume that car from B is faster.Find the speed of car from A and B. r they meet in 2 hours.Assume that car from B is faster.Find the speed of car from A and B.
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When 2 bodies travel towards each other, the relative velocity is the sum of two and when 2 bodies travel in the same direction, the relative velocity is the difference of two.
let velocity of a car starting from A=aKm/hr
and velocity of a car starting from B=bKm/hr
So,
when they move towards each other,
relative velocity=a+b
when they move in the same direction,
relative velocity=a−b
velocity=
Time
Distance
So,
a+b=
1
100
and a−b=
5
100
a+b=100 and a−b=20
adding two equation,
2a=120
a=60Km/hr
and b=100−60
=40Km/hr
Thus , speed a two cars will be 60Km/hr and 40Km/hr
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