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Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds , they meet in 5 hrs. If they travel towards each other they meet in one hour. What is the difference of speeds in km/hr of the two cars ?

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20 km/hr

30 km/hr

60 km/hr

50 km/hr

answer is A.

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Detailed Solution

Concept- Use the formula if all the automobiles are going in the same direction.

Use the formula if the cars are traveling in the opposite direction.

Solve these two equations to get the SA and SB
Let the vehicle's speed at A

and the speed of car at

while the vehicle is moving in one direction Speed relative is

Dist

hours

Dist

when an automobile is traveling against the grain Speed relative is

Dist

hours
Dist

(II)
Solving (I) & (II)

Speed of the car at

Speed of the car at B

The difference of speeds is

Hence, option 1 is correct.

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