NIMCET 2023 — Reasoning PYQ

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Question

NIMCET 2023 — Reasoning PYQ

NIMCET | Reasoning | 2023

On Monday, Akash ran 4 km less than the distance he ran on Tuesday. Sanjay, who ran the same distance on Monday and Tuesday, ran 5 km more on Tuesday than the distance Akash ran on Monday. Find the difference between the distances covered by Akash and Sanjay over the two days.

Choose the correct answer:

Explanation

Let Akash's Tuesday distance = x km.
Then Akash's Monday distance = x - 4 km.
Sanjay runs same distance on both days = y km.
Sanjay's Tuesday distance is 5 km more than Akash's Monday distance:
$y = (x - 4) + 5 = x + 1$
Total distance Akash ran in 2 days:
$< b r > (x - 4) + x = 2 x - 4$
Total distance Sanjay ran in 2 days:
$y + y = 2 y = 2 (x + 1) = 2 x + 2$
Difference = Sanjay's total - Akash's total:
$< b r > (2 x + 2) - (2 x - 4) = 6 km$
Answer: The difference in total distances covered is 6 km.