Question

Nathan is training for a race. He runs 2/3 mile in each 1/12 hour. Complete the following division to determine his speed in miles per hour. 2/3 1/12 = _____ miles per hour.

Answer 1

2/3 ------- 1/12
x ------- 1
cross multiply;
x/12=2/3
x= 2/3×12
x=8miles

Answer 2

8 miles per hour.

Explanation:

Nathan runs
`(2)/(3)` mile in each
`(1)/(12)` hour.

We will calculate his speed in miles per hour.

Since Nathan runs
`(2)/(3)` miles in
`(1)/(12)` hour

We will divide the numbers to get his speed per hour.

Nathan runs in 1 hour =
`(2)/(3)` ÷
`(1)/(12)`

=
`(2)/(3)` ×
`(12)/(1)`

=
`(24)/(3)`

= 8 miles

Nathan's speed is 8 miles per hour.