Question

Hi, can you help me with this please?
You can jog at a speed of 7 miles per hour and run at a speed of 12 miles per hour. If you traveled 8 miles in 50 minutes, find the amount of time you jogged as well as the amount of time you ran.

Answer 1

Answer:

He jogged for 24 minutes and ran for 26 minutes

Step-by-step explanation:

Mathematically,

distance = speed * time

Let the amount of time jogged be x and the amount of time ran be y hours

50 minutes to hours = 50/60 = 5/6

so x + y = 5/6

Total distance jogged is 7x and total distance ran is 12y

7x + 12y = 8

So we have two equations;

x + y = 5/6

7x + 12y = 8

From i, x = 5/6-y

So;

7(5/6 - y) + 12y = 8

35/6 - 7y + 12y = 8

Multiply through by 6

35 + 30y = 48

30y = 13

y = 13/30

13/30 in minutes is 13/30 * 60 = 26 minutes

So the amount of time jogged is 50-26 = 24 minutes