a marathon runner runs 26.2 miles in 3.5 hours. one mile is about 1.61 kilometers. what is the runners approximate speed in kilometers per hour?

Respuesta :

26.2 / 3.5 = 7.49 miles / hr

1 miles = 1.61 km.....so 7.49 miles = (7.49 * 1.61) = 12.06 km / hr <==

The runner's approximate speed in kilometers per hour is 12.05 kilometers.

Given,

Marathon runner runs 26.2 miles in 3.5 hours.

1 mile = 1.61 kilometers.

We need to find the approximate speed of the marathon runner in kilometers per hour.

What is speed?

Speed is given by distance by time.

Marathon runner runs 26.2 miles in 3.5 hours.

We can write it as:

3.5 hours = 26.2 miles

Multiplying ( 1 / 3.5 ) on both sides.

(1/3.5) x 3.5 hours = (1/3.5) x 26.2 miles

1 hour = (26.2/3.5) miles

1 hour = 7.486 miles.

So we can see that in one hour the marathon runner runs 7.486 miles.

Now, we need to change miles into kilometers.

We have,

1 mile = 1.61 kilometers

Multiplying 7.486 on both sides we get,

7.486 x 1 mile = 7.486 x 1.61 kilometers

7.486 miles = 12.05 kilometers.

So we have,

1 hour = 12.05 kilometers.

The marathon runner can run 12.05 kilometers per hour.

Thus, the runner's approximate speed in kilometers per hour is 12.05 kilometers.

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