Terrance and Jesse are training for a long distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains a t a rate of 2 miles every 15 min. how long will each person take to run a total 50 miles at the given rates? GIVEN RATES: T=12 miles every hour J =8 miles every hour
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Since T=12 miles/ hour and J =8 miles every hour, equate them to 50 miles and cross multiply to solve for the rate.
Solution for Terrance's rate
>T=12 miles/ hour = 50 miles
> T=12 miles/ hour = 50 miles/1
> T=50 miles/ hour / 12 miles
> T=50 hour / 12
> T= 4.1667 hours
It will take Terrance 4.1667 hours to run 50 miles.
Solution for Jesse's rate
> J =8 miles/ hour = 50 miles
> J =8 miles/ hour = 50 miles/1
> J = 50 miles/ hour / 8 miles
> J = 50 hours / 8
> J = 6.25 hours
It will take Jesse 6.25 hours to run 50 miles.