A is chasing B in the same interval of time. A jumps 8 times, while B jumps 6 times. But the distance covered by A in 7 jumps is the same as that of B in 5 jumps. The ratio between the speeds of A and B is ________. 

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 1)
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  1. 32 ∶ 24
  2. 30  ∶  56
  3. 20  ∶  21
  4. 28  ∶  36

Answer (Detailed Solution Below)

Option 3 : 20  ∶  21
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Detailed Solution

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Hint:

To put in ratio the values must be of the same unit / same type

Here, jumps will be either for the A or the B.

speed = Distance/ time

∴ speed ∝ distance 

Calculations:

7 jumps of A→ 5 jumps of B

8 jumps of the A → ((5/7) × 8) jumps of the B

= 40/7 jumps of B

∴The required ratio is (40/7) : 6

= 20 : 21

∴ The ratio of the speed of A and B is 20 : 21.

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