Question

A 10K run is 10 kilometers long. If 1 meter = 1.094 yards, use dimensional analysis to find the length of the race in miles. (Hint: 1 mile = 1760 yards). Round to the nearest tenth.

Answer 1

10936.1 yards = 10 kilometers                                                                              1 kilometer = 1093.1 yards                  

Answer 2

Answer:

6.215 miles.

Step-by-step explanation:

Given : A 10K run is 10 kilometers long.

To Find : find the length of the race in miles.

Solution:

Length of race = 10 km

1 k m = 1000 m

10 km = 10000 m

So, length of race in meters = 10000

Now 1 m = 1.094 yards

So, 10000 m = $1.094 \times 10000=10940$ yards

Now 1760 yards = 1 mile

So, 1 yard = $\frac{1}{1760} miles$

So, 10940 yards =  $\frac{1}{1760} \times 10940 miles$

So, 10940 yards =  $6.215 miles$

Hence the length of the race in miles is 6.215 miles.