Examveda

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

Answer: Option C

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {}&{\text{A}}&:&{\text{B}} \\ {{\text{Time}}}&8&{}&6 \end{array}\]
And 7 × A = B × 5
Distance A : B = 5 : 7
\[\begin{array}{*{20}{c}} {{\text{Ratio}}}&{\text{A}}&:&{\text{B}} \\ {}&8&:&6 \\ {}&5&:&7 \\ {}&{\overline {\,40\,} }&{}&{\overline {\,42\,} } \\ {}&{20}&:&{21} \end{array}\]

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