Maths Question. (Question in description)

Question

A car is driving from city a to city b at 60km/hr. if it were to drive at 100km/hr it would reach city b 10 minutes less than from driving at 60km/hr. What is the distance between the cities

Answer 1

Let T be driving time at 60, then T-1/6 = driving time at 100

Distance traveled is the same at each speed.

60T = 100[T - (1/6)]

T = 2.5/6 hrs

60T = distance = 25 miles