When two bodies move towards each other with constant speed, the distance between them decreases at the rate 6m/sec. If they move in the same direction, the distance between them increases at the rate of 4 m/sec. Calculate their velocities.
Correct answer: A. 5 m/sec, 1 m/sec
- A. 5 m/sec, 1 m/sec
- B. 3 m/sec, 3 m/sec
- C. 6 m/sec, 1 m/sec
- D. 4 m/sec, 2 m/sec
Explanation
Let's name the two unknown speeds as V1 and V2.From the information given,V1+V2 = 6V1 - V2 = 4Solving the equations simultaneously,V1 = 4 + V2Substituiting this in first equation,4 + V2 + V2 = 6 2V2 = 2V2 = 1 m/sV1 = 4 + V2 V1 = 4 + 1V1 = 5 m/s.Option A is the correct answer.
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