The diameter of the locomotive wheel is 180 cm. The wheel has turned 500 times in 2.5 minutes.

The diameter of the locomotive wheel is 180 cm. The wheel has turned 500 times in 2.5 minutes. How fast is the locomotive going?

Let’s calculate how many revolutions a locomotive wheel makes in 1 minute. Let’s divide the number of revolutions – 500 by the time – 2.5 minutes:

500: 2.5 = 200 rpm.

The locomotive wheel makes 200 revolutions in one minute.

Let’s calculate how many meters it is:

200 * 180 cm = 36000 cm = 3600 meters.

In one minute, a locomotive wheel travels 3600 meters. Let’s calculate in 60 minutes:

60 * 3600 = 216000 meters = 216 kilometers.

The locomotive’s speed is 216 kilometers per hour.

Answer: the speed of the locomotive is 216 kilometers per hour.