Question

Brian ran 414 miles in 34 of an hour. How fast was Brian running?

3316 mph 3
12 mph
5 mph
523 mph

Plz hurry!

Answer 1

Option (d) is correct.

Brain is running at the speed of
`5(2)/(3)` miles per hour.

Explanation:

Given: Brian ran
`4(1)/(4)` miles in
`(3)/(4)` of an hour.

we have to find how fast Brian running.

Consider the given data

Brian ran
`4(1)/(4)` miles in
`(3)/(4)` of an hour.

Time =
`(3)/(4)` of an hour that is
`(3)/(4)` hour

And distance is
`4(1)/(4)` miles =
`(17)/(4)` miles

We know,
`speed=(distance)/(time)`

Substitute, we have,

`Speed=(17)/(4)/ (3)/(4)`

Apply fraction rule,
`\quad (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)`

`=(17)/(4)* (4)/(3)`

Simplify, we have,

`=(17)/(3)=5(2)/(3)`

Thus, Brain is running at the speed of
`5(2)/(3)` miles per hour.

Answer 2

`5(2)/(3)\ mph`

Explanation:

we know that

The speed is equal to divide the distance by the time

Let

x------> the time in hours

y-----> the distance in miles

s-----> the speed in mph

`s=(y)/(x)`

In this problem we have

`x=(3)/(4)\ hours`

`y=4(1)/(4)\ miles`

Convert to an improper fraction

`4(1)/(4)\ miles=(4*4+1)/(4)=(17)/(4)\ miles`

Find the speed

`s=((17/4))/((3/4))=(17)/(3)\ mph`

convert to mixed number

`(17)/(3)\ mph=(15)/(3)+(2)/(3)=5+(2)/(3)=5(2)/(3)\ mph`