Question

When Amy roller-skates, she moves 110 yards per minute. What is her speed in miles per hour? Round your answer to the nearest hundredth. (Hint: 1 yd= 3 ft; 5280 ft = 1 yd.; 60 min= 1 hr)

Answer 1

Answer:

Speed of Amy is 3.75 miles per hour.

Step-by-step explanation:

We have, speed of Amy = 110 yards per minute

This means, she covers 110 yards of distance in 1 minute.

Now, to convert the speed of Amy into miles per hour, we will first convert the distance from yards into miles and then convert time from minutes to hour.

We know that,

  1 yard = 3 feet

∴ 110 yards = 3 × 110 feet = 330 feet

Now, we also know that,

 5280 feet = 1 mile

∴ 1 feet = $\frac{1}{5280}$ miles

So, 330 feet = $\frac{1}{5280}\times330$ = $\frac{1}{16}$ miles

∴ 110 yards = 330 feet = $\frac{1}{16}$ miles

Now, 60 min = 1 hr

∴ 1 min = $\frac{1}{60}$ hrs

So, 110 yards = $\frac{1}{16}$ miles and 1 min = $\frac{1}{60}$ hr

So, we can say that, Amy covers a distance of $\frac{1}{16}$ miles in

$\frac{1}{60}$ hr.

We know that,

$speed=\frac{distance}{time}$

$speed=\frac{(\frac{1}{16}) miles}{(\frac{1}{60})hr}$

$speed=\frac{60}{16} miles/hr = 3.75 miles/hr$

Therefore, the speed of Amy in miles/hr is 3.75 miles/hr.