The diameter of the locomotive wheel is 105 cm. The wheel has made 500 revolutions in 1.5 minutes.

The diameter of the locomotive wheel is 105 cm. The wheel has made 500 revolutions in 1.5 minutes. How fast is the locomotive

Wheel circumference = d * P (P is the number of pi, d is the diameter of the wheel) = 3.14 * 1.05 = 3.297 meters.

This means that a diesel locomotive travels 3.297 meters per wheel revolution.

For 500 revolutions, the locomotive will pass: 500 * 3.297 = 1648.5 meters = 1.65 kilometers.

The locomotive covers this distance in 1.5 minutes, let’s make the proportion:

1.65 kilometers = 1.5 minutes,

x kilometers = 60 minutes.

We decide according to the basic rule of proportion (the rule of the cross):

x = 1.65 * 60 / 1.5 = 66 kilometers.

Answer: The speed of the locomotive is 66 kilometers per hour.