QuestionMr. Lopez spreads 2 cubic yards in $\frac{3}{4}$ hour. How many cubic yards can he spread in 1 hour?

Studdy Solution

STEP 1

Assumptions1. Mr. Lopez spreads cubic yards of pebbles in $\frac{3}{4}$ hour. . The rate at which Mr. Lopez spreads pebbles is constant.

STEP 2

First, we need to find the rate at which Mr. Lopez spreads pebbles. We can do this by dividing the amount of pebbles he spreads by the time it takes him.
$Rate = \frac{ebbles\, spread}{Time\, taken}$

STEP 3

Now, plug in the given values for the pebbles spread and time taken to calculate the rate.
$Rate = \frac{2\, cubic\, yards}{\frac{3}{}\, hour}$

STEP 4

To simplify the calculation, we can multiply the numerator and denominator by4.
$Rate = \frac{2\, cubic\, yards \times4}{\frac{3}{4}\, hour \times4}$

STEP 5

Calculate the rate at which Mr. Lopez spreads pebbles.
$Rate = \frac{8\, cubic\, yards}{3\, hours}$

STEP 6

Now that we have the rate, we can find how many cubic yards of pebbles Mr. Lopez can spread in one hour. We can do this by multiplying the rate by the time.
$ebbles\, in\, one\, hour = Rate \times Time$

STEP 7

Plug in the values for the rate and time to calculate the amount of pebbles Mr. Lopez can spread in one hour.
$ebbles\, in\, one\, hour = \frac{\, cubic\, yards}{3\, hours} \times1\, hour$

STEP 8

Calculate the amount of pebbles Mr. Lopez can spread in one hour.
$ebbles\, in\, one\, hour = \frac{8\, cubic\, yards}{3} = \frac{8}{3}\, cubic\, yards$ Mr. Lopez can spread $\frac{8}{3}$ cubic yards of pebbles in one hour.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms