Question

Team raise over run caned 15 3/4 miles in 2 1/4 hours. what was their averge rate in mile per hour.

Answer 1

The average rate in mile per hour = 7

Explanation:

Given:

Team Rise Over Rune canoed =
`15(3)/(4)` miles

Time taken to canoe =
`2(1)/(4)` hours

To find the average rate in miles per hour.

Solution:

To find the average rate canoed by the team, we need to divide the total number of miles canoed by total time taken.

Average rate in miles per hour will be given as:

⇒
`15(3)/(4)\ miles / 2(1)/(4)\ hours`

In order to divide mixed number, we need to first convert them to fraction.

So, we write the mixed numbers as fraction with same denominator and the numerator = product of the denominator and whole number added to numerator of the mixed number.

So we have,

`15(3)/(4)=(4(15)+3)/(4)=(63)/(4)`

`2(1)/(4)=(4(2)+1)/(4)=(9)/(4)`

Thus, the division can now be rewritten as:

⇒
`(63)/(4)/ (9)/(4)`

Now, in order to divide fractions, we will reciprocate the divisor by replacing the division to multiplication.

⇒
`(63)/(4)* (4)/(9)`

Canceling the common terms.

⇒
`(63)/(9)`

⇒
`7` miles per hour

Thus, average rate in mile per hour = 7