Paper 1 · Mathematical Reasoning and Aptitude
UGC NET 03rd Jan 2026 Shift 1
Two cyclists cover the same distance at 15 km/hr and 16 km/hr, respectively. If one cyclist takes 16 minutes longer than the other, then the distance travelled by each cyclist is:
A64 km ✓ Correct
B16 km
C68 km
D12 km
Correct answer: (A) 64 km — Let the distance be d. The slower rider needs d/15 hours and the faster d/16 hours, and the gap is 16 minutes, that is 16/60 hour. So d/15 – d/16…
Explanation
★Let the distance be d. The slower rider needs d/15 hours and the faster d/16 hours, and the gap is 16 minutes, that is 16/60 hour. So d/15 – d/16 = 16/60. The left side equals d/240, hence d = 240 x 16/60 = 64. Each cyclist covers 64 km.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in