Answer:
See below.
Step-by-step explanation:
Jane and John are each hiking a trail in the city. Jane is on her bike, and John is jogging.
At noon, Jane is at the 5 mile mark and rides at 11 miles per hour.
Also at noon, John is at the 23 mile mark and jogs at 8 miles per hour.
x is the number of hours after noon.
Will Jane catch John? After how many hours?
You owe half of 272 which is 136
We have a direct variation. Distance, D, varies directly as time, t.
So D = Kt where K is the constant. In this case, speed. So D = Kt is our constant of variation.
If D = 150 miles and t = 4 hours
Then we have 150 = K (4)
K = 150/4 = 37.5. The constant of variation is 37.5.
If you keep traveling at a constant speed K = 37.5 and D = 200. We have
200 = 37.5 * t
t = 200/37.5 = 5.333 hours.
