Question

You are researching two glaciers.the first glacier flows at a rate of 75 meters in 3 days.the second glacier flows at a rate of 107.5 meters in 5 days.which glacier flows faster?how much sooner will the faster glacier flow 200 meter

Answer 1

`1.3\ days`

Explanation:

step 1

Find the units rate of the first glacier

`(75)/(3)=25(meters)/(day)`

using proportion

`(25)/(1)(meters)/(day)=(200)/(x)(meters)/(days)\\ \\x=200/25\\ \\x=8\ days`

step 2

Find the units rate of the second glacier

`(107.5)/(5)=21.5(meters)/(day)`

using proportion

`(21.5)/(1)(meters)/(day)=(200)/(x)(meters)/(days)\\ \\x=200/21.5\\ \\x=9.3\ days`

step 3

Find the difference

`9.3\ days-8\ days=1.3\ days`