A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of total time, to cover the remaining distance in the remaining time, his speed in kmph must be-

Question: A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of total time, to cover the remaining distance in the remaining time, his speed in kmph must be-

Solution:
Remaining distance = (6 - 3) km
= 3 km

∴ remaining time = (1/3) × 45
= 15 min
= 15/60 hr
= 1/4 hr

∴ Required speed = 3/(1/4) kmph
= 12 kmph