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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

Respuesta :

Katie2311
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:

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

Step-by-step explanation:

The formula for speed:

[tex]Speed=\frac{Distance}{Time}[/tex]

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:

[tex]Speed=\frac{6}{\frac{1}{2}}=12[/tex]

Speed of Terrance is 12 miles every hour.

Speed of Jesse:

[tex]Speed=\frac{2}{\frac{1}{4}}=8[/tex]

Speed of Jesse is 8 miles every hour.

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

[tex]Time=\frac{Distance}{Speed}[/tex]

Time taken by Terrance is

[tex]Time=\frac{50}{12}=\frac{48+2}{12}\Rightarrow 4+\frac{2}{12}=4+\frac{1}{6}[/tex]

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

[tex]Time=\frac{50}{8}=\frac{48+2}{8}\Rightarrow 6+\frac{2}{8}=6+\frac{1}{4}[/tex]

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

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

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