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Question 14 : 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? [TITA]

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Video Explanation

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Explanatory Answer

Let the track length for John be 'a' and for Mary be 'b'
So, Distance travelled by John = 9a
Distance travelled by Mary = 5b
Now, Time taken by John = hours
Time taken by Mary = hours
We know that Time taken by John = Time taken by Mary
=
a = b
Total track length = 325 meters
So, b + b = 325 meters
b = 325 meters
b = 225 meters
a = 100 meters
Mary jogs at 7.5 Kmph = 7.5 x
So, time taken = = 48 seconds

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The question is "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? [TITA]"

Hence, the answer is 48