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Aptitude · Q445

Speed Time And Distance

Competitive Exams · Aptitude · question 445

Q445

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
Answer
D.
28 : 36

Answer: Option C

Solution

Answer: Option C
Solution:
\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}