Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (12.12.2023) Shift-I
Two friends A and B live 140 km apart. They both drive in a straight line towards each other to meet. If A drives at 80 km/h and B drives at 40 km/h, then how many kilometres apart will they be exactly 45 minutes before they meet?
A70 km
B90 km ✓ Correct
C100 km
D80 km
Correct answer: (B) 90 km — They will be 90 km apart 45 minutes before they meet, so that is the answer.
Explanation
★They will be 90 km apart 45 minutes before they meet, so that is the answer.
★Their combined speed of approach is 80 plus 40, which is 120 km/h.
★Together they close the 140 km gap and then meet.
★In the 45 minutes just before meeting, they still cover distance at 120 km/h.
★In 45 minutes, that is three-fourths of an hour, they close 120 times 0.75, which is 90 km.
★So 45 minutes before meeting they are 90 km apart.
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