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A water sprinkler system can water

1/5

of a yard in

1/10

of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

A

1 yards per hour


B

2 yards per hour


C

5 yards per hour


D

10 yards per hour

Verified Answer :

Poltergeist

Answer:

Choice B: 2 yards per hour.

Step-by-step explanation:

In order to compute the unit rate we have to divide the number of yards watered by the amount of hours taken:

\(\therefore Unit\: Rate =\frac{yards}{hours} =\frac{\frac{1}{5} yards}{\frac{1}{10}hours}.\)

Take the reciprocal of the denominator of the expression and we get:

\(Unit\: Rate=\frac{\frac{1}{5} yards*10}{hours}.\)

Which simplifies to

\(\frac{2 yards}{hour}\)

Thus Unit rate = \(\frac{2 yards}{hour}\) which is choice B.

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