There are two points on a highway A and B. They are 100 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in same direction, they meet in 8 hours, but if they travel towards each other, they meet in 2 hours. Find the speed of two autos. step by step explanation
Answers
Given : There are two points on a highway A and B. They are 100 km apart.
An auto starts from A and another auto starts from B simultaneously. If they travel in same direction, they meet in 8 hours,
if they travel towards each other, they meet in 2 hours.
To Find : the speed of two autos
Solution:
Speed of one auto = X km/Hr
and speed of another auto = Y km/hr
Assume that X > Y
they travel in same direction,
Relative Velocity = X - Y km
Time = 8 hr
Relative Distance Covered = 100 km
=> (X - Y) 8 = 100
=> 8X - 8Y = 100
=> 2X - 2Y = 25
they travel towards each other,
=> 2(X + Y ) = 100
=> 2X + 2Y = 100
Adding both => 4X = 125 => X = 125/4
& Y = 75/4
speed of two autos. 125/4 & 75/4 km/hr
= 31.25 & 18.75 km.hr
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