distance rate time questions

Question

Two​ joggers, one averaging

6

mph and one averaging

5

​mph, start from a designated initial point. The slower jogger arrives at the end of the run

25

minutes after the other jogger. Find the distance of the run.

The distance of the run is

blank

miles.



Answer 1

Hi Isabelle, the two jogger's travel the same distance. Use the equation D = R*T to solve the question.

Jogger one:

D₁ = RT

D1 = 6T

Jogger two:

D₂ = RT

D₂ = 5(T + 25/60) , put number of minutes into hours

D₁ = D2

Or

6T = 5(T + 25/60)

6T = 5T + 25/12

Subtract 5T from both sides:

T = 25/12

To find the distance substitute 25/12 for T:

D₁ = 6 * 25/12

D₁ = 25/2, or 12.5 miles

Check using D₂

D₂ = 5(25/12 + 25/60)

D₂ = 5(25/12 + 5/12)

D₂ = 5(30/12)

D₂ = 150/12, or 12.5 miles

Questions?