Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (11.07.2022) Shift-II
A man takes 6 hours 30 minutes in going by cycle and coming back by scooter. He would have lost 2 hours 10 minutes by going on cycle both ways. How long would it take him to go by scooter both ways?
A4 hours 20 minutes ✓ Correct
B8 hours 40 minutes
C13 hours
D5 hours 20 minutes
Correct answer: (A) 4 hours 20 minutes — The scooter both ways would take 4 hours 20 minutes.
Explanation
★The scooter both ways would take 4 hours 20 minutes.
★Cycle one way plus scooter one way takes 6 hours 30 minutes.
★Cycle both ways would take 2 hours 10 minutes more than that.
★So replacing the scooter leg with a cycle leg adds 2 hours 10 minutes.
★That means one cycle leg exceeds one scooter leg by 2 hours 10 minutes.
★Subtracting 2 hours 10 minutes from 6 hours 30 minutes gives 4 hours 20 minutes for scooter both ways.
★The difference between the modes on one leg drives the whole calculation.
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