CAT 2019 Question Paper | Quants Slot 2

CAT Questions

TITA type questions in the Arithmetic section of the CAT exam are absolute Gold provided that you can crack them without wasting too much time! The key to be able to pounce on these questions and get away with the correct answer! However, seems possible only when you have a thorough understanding of the concepts and its applications. One way to go about doing that is to practice CAT previous year paper. Do not miss out on this crucial part of your CAT preparation online. Infact, start right away with this beautiful yet simple question from Time Speed Distance.
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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