Math

QuestionMr. Lopez spreads 2 cubic yards in 34\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 34\frac{3}{4} hour. . We are asked to find how many cubic yards of pebbles he can spread in one hour.

STEP 2

First, we need to find the rate at which Mr. Lopez is spreading the pebbles. We can do this by dividing the amount of pebbles he spreads by the time it takes him to do so.
Rate=AmountofpebblesTimeRate = \frac{Amount\, of\, pebbles}{Time}

STEP 3

Now, plug in the given values for the amount of pebbles and the time to calculate the rate.
Rate=2cubicyards3hourRate = \frac{2\, cubic\, yards}{\frac{3}{}\, hour}

STEP 4

To simplify the division, we can multiply the numerator and the denominator by the reciprocal of the denominator.
Rate=2cubicyards×43Rate =2\, cubic\, yards \times \frac{4}{3}

STEP 5

Calculate the rate at which Mr. Lopez is spreading the pebbles.
Rate=2cubicyards×43=83cubicyardsperhourRate =2\, cubic\, yards \times \frac{4}{3} = \frac{8}{3}\, cubic\, yards\, per\, hour

STEP 6

Now that we have the rate at which Mr. Lopez is spreading the pebbles, we can find out how many cubic yards of pebbles he can spread in one hour by simply using the rate as the answer because the rate is in cubic yards per hour.
Mr. Lopez can spread 83\frac{8}{3} cubic yards of pebbles in one hour.

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