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Question

When two bodies approach each other with different uniform speeds, the distance between them decreases by 120m per every 1min. If they move in the same direction, the distance between them increases by 90m per every 1min. The speeds of the bodies are respectively.

A
2m/s, 0.5m/s
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B
3m/s, 2m/s
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C
1.75m/s, 0.25m/s
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D
2.5m/s, 0.5m/s
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Solution

The correct option is D 1.75m/s, 0.25m/s
The directions are represented as
v1v2
v1+v2=12060(m/s)
v1+v2=2 m/s
v1v2
v1v2=501×60=1.5 m/s
v2+v1=2

v2+v1=1.5
2v1=3.5

v1=1.75 m/s
v2=0.25 m/s

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