Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (09.07.2022) Shift-II
A person reaches his destination 40 minutes late if his speed is 3 km/hr, and reaches 30 minutes before time if his speed is 4 km/hr. What is the distance of his destination from the starting point (in km)?
A12
B13
C10
D14 ✓ Correct
Correct answer: (D) 14 — The distance to the destination is 14 km.
Explanation
★The distance to the destination is 14 km.
★The time gap between arriving 40 minutes late and 30 minutes early is 70 minutes.
★That gap in hours is 70 by 60, which is 7 by 6.
★Distance equals the product of the two speeds divided by their difference, times the time gap.
★So distance equals 4 times 3 divided by 1, times 7 by 6.
★This gives 12 times 7 by 6, which is 14 km.
★The two speeds and the total time difference fully fix the distance.
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