Jane runs 7miles in 80 minutes.at the same rate, how many miles would she run in 64 minutes?

Question

Jane runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes 

Answer 1

First we have to find how long it takes Jane to run 1 mile.

So,

A) 80 min will be divided by 7 miles-

80/7 = 11.43 min/ mile

Jane runs 1 mile in approximately 11.43min.

 

B) How long will she run in 64 min?-

Since we know that it takes 11.43min to run 1 mile, we will divide 64 by that 1 mile time.

64/11.43 = 5.6 miles in 64 min.

 

Our answer is: Jane will run 5.6 miles in 64 min.

 

Another way to solve this, is by cross multiplying:

 

A)7/80 • x/64 = 448/80x. Now, solve for x by...

 

B) 448/80 = 5.6

5.6 miles

 

 Hope that helped you understand.

Answer 2

you can set up a proportion

7 miles/80 minutes=? miles/64 minutes

7/80=n/64

cross multiply

80n=448

n=448/80

n=5.6 miles

or...

64/80=16/20=4/5

Jane can run 4/5 of the 7 miles in 64 minutes

(4/5)(7)=28/5=5 3/5=5.6 miles again