Question

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

Answer 1

First,do 50/12 and that equals 4.16 so basically Terrance will take about 4 hours and 3 minutes and 45 seconds to run.For Jesse,do 50/8 and that equals 6.25. So Jesse will run for 6 hours and 15 minutes and 0 seconds to run

Answer 2

The time taken by Terrance and Jesse to cover 50 miles are 4 hours 10 min 6 and hours 15 min respectively.

Explanation:

The formula for speed:

`Speed=(Distance)/(Time)`

It is given that the terrance trains at a rate of 6 miles every half hour, and Jesse trains a t a rate of 2 miles every 15 min.

Speed of Terrance:

`Speed=(6)/((1)/(2))=12`

Speed of Terrance is 12 miles every hour.

Speed of Jesse:

`Speed=(2)/((1)/(4))=8`

Speed of Jesse is 8 miles every hour.

We need to find the time taken by Terrance and Jesse to cover 50 miles.

`Time=(Distance)/(Speed)`

Time taken by Terrance is

`Time=(50)/(12)=(48+2)/(12)\Rightarrow 4+(2)/(12)=4+(1)/(6)`

4 hours +1/6 hours = 4 hours 10 min

Therefore, the time taken by Terrance is 4 hours 10 min.

Time taken by Jesse is

`Time=(50)/(8)=(48+2)/(8)\Rightarrow 6+(2)/(8)=6+(1)/(4)`

6 hours +1/4 hours = 6 hours 15 min

Therefore, the time taken by Jesse is 6 hours 15 min.