Question 20.

John jogs on track A at 6 kmph and Mary jogs on track B at 7.5 kmph. The total length of tracks A and B is 325 metres. While John makes 9 rounds of track A, Mary makes 5 rounds of track B. In how many seconds will Mary make one round of track A?

A
B
C
D

Question Explanation

Text Explanation

Speed of John = 6 kmph 

Speed of Mary = 7.5 kmph 

Lengths of tracks A and B = 325 m

Let the length of track A be a, then the length of track B = 325-a

9 rounds of John on track A = 5 rounds of Mary on track B

9×a6×518\frac{9 \times a}{6 × \frac{5}{18}} = 5(325a)7.5×518\frac{5 \cdot (325-a) }{7.5 × \frac{5}{18}}

On solving we get , 13a=1300

a=100

The length of track A = 100m, track B = 225m

Mary makes one round of track A =   1007.5×518\frac{100}{7.5 × \frac{5}{18}}

= 48 sec

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