Question

Points a and b are 70 km apart on a highway . A car a and another from b start simultaneously. If they travel in the same direction, they meet in 7 hour,but if they travel towards each other,they meet in one hour. Find the speed of the two cars

Answer 1

Let the speed of car A be X speed of car B be Y

Case i) When they move in same direction,

using formula speed = distance/time

which gives,

=>7X - 7Y=70

=>X - Y=10. ------------------(i)

case (ii)

When they move toward eachother they meet in one hour therefore equation is

=>X + Y=70-------------------(ii)

Eliminating equation i and ii we get,
=> X - Y =10
& X + Y=70
--------------------
2X=80
=>X=40

putting this value in equation i we get,
=>40 - Y =10
=>Y = 30

Hence speed of car A is 40km/hr
& speed of car B is 30km/hr

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