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 ________.
Option 1: 32 : 24
Option 2: 30 : 56
Option 3: 20 : 21
Option 4: 28 : 36
Correct Answer: 20 : 21
Solution :
Distance covered in 7 jumps of A = Distance covered in 5 jumps of B
Distance covered in 8 jumps of the A = $\frac{5}{7} \times 8$ jumps of the B = $\frac{40}{7}$ jumps of B
So, the required ratio = $\frac{40}{7}$ : 6 = 40 : 42 = 20 : 21
Hence, the correct answer is 20 : 21.
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