Question

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

Answer 1

Choice B: 2 yards per hour.

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 =(yards)/(hours) =((1)/(5) yards)/((1)/(10)hours).`

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

`Unit\: Rate=((1)/(5) yards*10)/(hours).`

Which simplifies to

`(2 yards)/(hour)`

Thus Unit rate =
`(2 yards)/(hour)` which is choice B.