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Two boys A and B start at the same time to ride from Delhi to Meerut,…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2021 June 2022 (20.09.2022) Shift-II
Two boys A and B start at the same time to ride from Delhi to Meerut, 60 km away. A travels 4 km an hour slower than B. When B reaches Meerut, he immediately turns back, meeting A 12 km from Meerut. What is the speed of A in km per hour?
A12
B8 ✓ Correct
C6
D10
Correct answer: (B) 8 — The answer is 8 km per hour.
Explanation
The answer is 8 km per hour.
Let B's speed be x, so A's speed is x minus 4.
By the meeting point A has gone 48 km and B has gone 72 km in the same time.
So 48 over x minus 4 equals 72 over x.
Solving gives x equal to 12.
So A's speed is 12 minus 4, which is 8 km per hour.
So the answer is 8 km per hour.

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