Jaidev takes 11/5 minutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time by the fraction is ____.

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Detailed Solution

Concept- The difference between the time of both is 9/20 mins.
This question can be answered by converting the mixed fraction into an improper fraction, matching the denominator, and then using simple subtraction to arrive at the desired result.
It is said in this question that:
Time taken by Jaidev –

= 11 / 5 \min

(by converting mixed fraction into improper fraction)
Time taken by Rahul –

= 7 / 4 \min

Making the denominator equal will help us determine the larger issue, thus we must do this in order to answer the question.

\Rightarrow 11 / 5 \Rightarrow 11 / 5

min (Multiply Jaidev’s time by 4)

= 11 / 5 \times 4 / 4

= 44/20 min
Now, for Rahul’s time –

= 7 / 4 \min

.
7/4 × 5/5 ( Multiply Rahul’s time by 5 )
= 35/20
Now, we can easily determine that Rahul takes less time compared to Jaidev as we know that if denominators are the same then the fraction with the higher value in the numerator will be larger. Therefore, by deducting Rahul's time from Jaidev's time, we will obtain -