Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (11.07.2022) Shift-I
A person traverses a certain distance in 1 hour 24 minutes by covering two-thirds of the distance at 4 km per hour and the rest at 5 km per hour. Find the distance covered by the person.
A6 km ✓ Correct
B8 km
C6.5 km
D7 km
Correct answer: (A) 6 km — The total distance is 6 km.
Explanation
★The total distance is 6 km.
★One hour 24 minutes equals 84 minutes, which is 7 by 5 hours in fraction form.
★Let the total distance be d, so two-thirds is 2d by 3 at 4 km per hour and one-third is d by 3 at 5 km per hour.
★Time equals distance over speed, so the total time is 2d by 12 plus d by 15.
★Setting this sum equal to 7 by 5 and solving gives d equal to 6 km.
★Splitting a journey into segments and summing each segment time is the standard method.
★Converting the mixed time to a single fraction of an hour avoids arithmetic slips.
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