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    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
    Question

    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 ________.

    A.

    32 : 24

    B.

    30 : 56

    C.

    20 : 21

    D.

    28 : 36

    Correct option is C

    Concept:

    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=Distancetimespeed = \frac{Distance}{time}​​

    ∴ speed ∝ distance 

    Solution:

    7 jumps of A→ 5 jumps of B

    8 jumps of the A → ((57)×8)((\frac{5}{7}) × 8)​ jumps of the B

    407\frac{40}{7}​ jumps of B

    ∴The required ratio is (407):6(\frac{40}{7}) : 6​​

    = 20 : 21

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

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