Question

lorenzo rides his bike at a rate of 5 yards per second. About how many miles per hour can Lorenzo ride this bike?(1mile=1760 yards)

Answer 1

(5 yd/sec) x (1 mile/1,760 yard) x (3,600 sec/hour) = about 10.227 mile/hour.

Answer 2

we have

$5 \frac{yards}{sec}$

Step $1$

Convert $5$ yards to miles

by proportion

$\frac{1}{1,760} \frac{mile}{yards} =\frac{x}{5} \frac{mile}{yards}\\\\ x*1,760=5\\\\ x=\frac{5}{1,760}\ miles$

Step $2$

Convert $1$ second to hours

by proportion

$\frac{1}{3,600} \frac{hour}{seconds} =\frac{x}{1} \frac{hour}{second}\\\\ x*3,600=1\\\\ x=\frac{1}{3,600}\ hours$

Step $3$

Find the speed in miles per hour

we know that

$speed=\frac{distance}{time}\\\\speed=\frac{(5/1,760)}{(1/3,600)}\\\\speed=\frac{5*3,600}{1,760}\\\\speed=10.23\frac{miles}{hour}$

therefore

the answer is

$10.23\frac{miles}{hour}$