Question

A man travels a certain distance by train in 4 hours and 12 minutes at the speed of 44.8 km per

hour. How much time will it take to cover the same distance, if the speed of the train is increased to 58.8 km per hour?​

Answer 1

Time = (distance) / (speed)

Look at that equation. It says that if the distances are the same, then time is inversely proportional to speed.

So at the higher speed, the train will take (44.8/58.8) of the slower time.

(44.8/58.8) x 4.2 hours = 3.2 hours. Exactly.

Answer 2

Step-by-step explanation:

12 minutes is 1/5 or 0.2 of an hour

distance traveled in 4.2 hrs. is

d = vt = 44.8(4.2) = 188.16 km

at the higher speed, the trip will take'

t = d/v = 188.16/58.8 = 3.2 hrs or 3 hrs and 12 minutes