Question

A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 34 minutes ​? In 1 hour ​?

Answer 1

Explanation:

11/2 is equivalent to 21/4 is

equivalent to 9/4

The unit rate will be:

3/2 miles= x

9/4 min 1 min

Now use this unit to find how far the car will travel in 26 minutes

2/3 mile •26 min= 52/3 miles or 17 and 1/3

miles

1 min

Since 1 hour is equal to 60 minutes, we can

multiply the unit rate by 60 to find the distance traveled in 1 hour.

2/3 mile• 60 min = 120/3 = 40 miles

traveled in 1 hour

1 min

Answer 2

let's firstly convert the mixed fractions to improper fractions.

`\stackrel{mixed}{1(1)/(2)}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2(1)/(4)} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill`

`\begin{array}{ccll} miles&minutes\\ \cline{1-2} (3)/(2)&(9)/(4)\\[1em] x&34 \end{array}\implies \cfrac{~~ (3 )/(2 ) ~~}{x}~~ = ~~\cfrac{~~ (9)/( 4) ~~}{34}\implies \cfrac{3}{2x}=\cfrac{9}{(4)(34)}\implies \cfrac{3}{2x}=\cfrac{9}{136} \\\\\\ (3)(136)=18x\implies \cfrac{(3)(136)}{18}=x\implies \cfrac{68}{3}\implies \stackrel{ miles }{x=22(2)/(3)}`