Question

Jacob biked 10 miles in 45 minutes at this rate how far would he bike in 4.5 hours in hours how many hours would it take him to hike 90 miles create a proportion to represent these situation and solve

Answer 1

Answer:60, 6.75

Explanation:

To solve the first prompt, we must create an equality statement.

`(10)/(45)=(x)/(270)` X being the distance he can go in 4.5 hours.

In order to have came up with 270, we needed to take 4.5 hours and turn it into a measure of minutes to correspond to the minute value of 45.

This is found by multiplying 4.5 by 60.

Now that we have this done, we can cross multiply the equality statement.

`10\cdot270=45x`

Simplify the first side

`2700=45x`

Divide both sides by 45

`(2700)/(45)=(45x)/(45)`

`60=x`

This means that Jacob can bike 60 miles in 4.5 hours.

For the second prompt, we need to find how long it would take for him to bike 90 miles given the amount of time it took for him to bike 10 miles.

We can use an equality statement like this:

`(45)/(10)=(x)/(90)`

Now we cross multiply:

`45\cdot90=10\cdot x`

Simplify:

`4050=10x`

Now we can divide both sides by 10.

`(4050)/(10)=(10x)/(10)`

`405=x`

This means that it would take Jacob 405 MINUTES to bike 90 miles.

To turn this into a measure of hours, we need to divide 405 by 60, which comes out to 6.75.

It would take Jacob 6.75 hours to bike 90 miles.