Question

An athlete runs a speed at a speed of 11 mph. If one lap is 302 yards how many laps does he run in 21 minutes. Round your answer to the minute nearest tenth of a lap.

Answer 1

Answer:

22.4 laps

Step-by-step explanation:

Remember that

$1\ mile=1,760\ yards\\1\ hour=60\ minutes$

step 1

Convert the speed in miles/hour to yards/minute

$11\ \frac{mi}{h}=11(\frac{1,760}{60})=\frac{19,360}{60}\ \frac{yd}{min}$

Simplify

$\frac{968}{3}\ \frac{yd}{min}$

step 2

we know that

The speed is equal to divide the distance by the time

Let

s----> the speed

d ----> the distance in yards

t ----> the time in minutes

$s=\frac{d}{t}$

Solve for d

$d=st$

we have

$s=\frac{968}{3}\ \frac{yd}{min}$

$t=21\ min$

substitute

$d=\frac{968}{3}(21)=6,776\ yd$

step 3

Divide the distance by 302 yards to find out the number of laps

$6,776/302=22.4\ laps$