Question

Frodo ran 2 3/5 miles in 7/12 of an hour. How many miles can Frodo run in one hour?

Answer 1

2 3/5 =
`(13)/(5)`

`(13)/(5)` miles =
`(7)/(12)` hour
multiply both sides by
`(12)/(7)`

`(12)/(7) * (13)/(5) miles = (12)/(7) * (7)/(12) hour`

`(156)/(35) miles = 1 hour`
or
`4 (16)/(35) miles = 1 hour`

Answer 2

Answer: The required number of miles covered by Frodo in one hour is
`4(16)/(35).`

Step-by-step explanation: Given that Frodo ran
`2(3)/(5)` miles in
`(7)/(12)` of an hour.

We are to find the number of miles ran by Frodo in one hour.

We will be using the UNITARY method to solve the problem.

We have

Number of miles ran by Frodo in
`(7)/(12)` hour is

`2(3)/(5)=(13)/(5)~\textup{miles}.`

Therefore, the number of miles ran by Frodo in 1 hour is given by

`((13)/(5))/((7)/(12))=(13)/(5)*(12)/(7)=(156)/(35)=4(16)/(35)~\textup{miles}.`

Thus, the required number of miles covered by Frodo in one hour is
`4(16)/(35).`