When two bodies move uniformly towards each other, the distance decrease by 6 m/s. If both the bodies moves (as above) in the same direction with the same speed, the distance between them increases by 4 m/s. Then the speed of the two bodies area)7 m/s, 3 m/sb)5 m/s, 1 m/sc)4 m/s, 2 m/sd)3 m/s, 3 m/sCorrect answer is option 'B'. Can you explain this answer?

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ACT Exam > ACT Questions > When two bodies move uniformly towards each o...

a)
7 m/s, 3 m/s
b)
5 m/s, 1 m/s
c)
4 m/s, 2 m/s
d)
3 m/s, 3 m/s

Correct answer is option 'B'. Can you explain this answer?

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Verified Answer

When two bodies move uniformly towards each other, the distance decrea...

Concept:

A) When two bodies move uniformly in opposite direction, the velocities gets added up.

B) When two bodies move uniformly in same direction, the velocities gets subtracted.

Calculation:

Given:

Let one bodies be A and B, and theor speed be V and U respectively.

As per the problem;

V_A + V_B = 6 ------(i)

V_A - V_B = 4 ------(ii)

Adding eq (i) and eq (ii)

2VA = 10

∴ VA = 5 m/s

Similarly

VA + VB = 6

5 + VB = 6

∴ VB = 1 m/s

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When two bodies move uniformly towards each other, the distance decrease by 6 m/s. If both the bodies moves (as above) in the same direction with the same speed, the distance between them increases by 4 m/s. Then the speed of the two bodies area)7 m/s, 3 m/sb)5 m/s, 1 m/sc)4 m/s, 2 m/sd)3 m/s, 3 m/sCorrect answer is option 'B'. Can you explain this answer?

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