Question

A turtle walks 7/8 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour?

Answer 1

Answer:

a) when changing 50 minutes to hours get fraction $\dfrac{5}{6}$

b) $\text{Unit rate of turtle }=\dfrac{21}{20}$  miles per hour

Step-by-step explanation:

A turtle walks $\dfrac{7}{8}$ of a mile in 50 minutes.

Unit rate of turtle in miles per hours.

Unit rate means number of miles cover in 1 hours.

Distance = $\dfrac{7}{8}$ miles

Time = 50 minutes

1 minute =$\dfrac{1}{60}$ hour

50 minutes =$\dfrac{1}{60}\times 50$ hours

$\text{Unit rate of turtle }=\dfrac{7/8}{5/6}$

$\text{Unit rate of turtle }=\dfrac{21}{20}$  miles per hour

Part a)

$\text{Unit rate of turtle }=\dfrac{21}{20}$  miles per hour

when changing 50 minutes to hours get fraction $\dfrac{5}{6}$

Part b)

Unit rate of turtle is ratio of distance covered per unit of hours.

$\text{Unit rate of turtle }=\dfrac{21}{20}$  miles per hour

Answer 2

Answer:

21/20

Step-by-step explanation:

a) One hour is equivalent to 60 minutes.

So we can multiply 50 minutes by the fraction $\frac{1 hour}{60 minutes}$, so we could convert 50 minutes to hours.

It is:

$50 minutes * \frac{1 hour}{60 minutes}=\frac{50}{60}hours$

If we simplify the fraction, we have:

$50 minutes = \frac{5}{6}hours$

b) In order to express the turtle's speed in miles per hour, we have to divide

$\frac{7}{8}miles$ by  $\frac{5}{6}hours$

So:

$\frac{\frac{7}{8}miles }{\frac{5}{6}hours }$

We simplify the expression by multiplying 7 mile by 6 and 8 by 5 hours:

$\frac{\frac{7}{8}miles }{\frac{5}{6}hours}=\frac{42 miles}{40 hours} =\frac{21 miles}{20 hours}$