Mathematics: 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

571 = 121 + 6xStep-by-step explanation:...

Terrance and jesse are training for a long distance

chuyyoshy092714

01.01.2022

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:

$Speed=\frac{Distance}{Time}$

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:

$Speed=\frac{6}{\frac{1}{2}}=12$

Speed of Terrance is 12 miles every hour.

Speed of Jesse:

$Speed=\frac{2}{\frac{1}{4}}=8$

Speed of Jesse is 8 miles every hour.

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

$Time=\frac{Distance}{Speed}$

Time taken by Terrance is

$Time=\frac{50}{12}=\frac{48+2}{12}\Rightarrow 4+\frac{2}{12}=4+\frac{1}{6}$

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

$Time=\frac{50}{8}=\frac{48+2}{8}\Rightarrow 6+\frac{2}{8}=6+\frac{1}{4}$

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

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

0,0(0 оценок)