SOLUTION: At 2:00pm a runner heads north on a highway, jogging at 10 miles per hour. At 2:30pm a driver heads north on the same highway to pick up the runner. If the car travels at 55 miles

Question 403142: At 2:00pm a runner heads north on a highway, jogging at 10 miles per hour. At 2:30pm a driver heads north on the same highway to pick up the runner. If the car travels at 55 miles per hour, how long will it take the driver to catch the runner?
Thanks for any help! :)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At 2:00pm a runner heads north on a highway, jogging at 10 miles per hour. At 2:30pm a driver heads north on the same highway to pick up the runner.
If the car travels at 55 miles per hour, how long will it take the driver to catch the runner?
----
Runner DATA:
rate = 10 mph ; time = x hrs ; distance = rt = 10x miles
---
Driver DATA:
rate = 55 mph ; time = x-(1/2) hrs ; distance = rt = 55x-27.5 miles
-----------------------
Equation:
distance = distance
10x = 55x-27.5
45x = 27.5
x = 27.5/45 = 11/18 hr
---
x-(1/2) = (11/18)-(9/18) = 1/9 hr = 6min 40sec (time for the car to catch
the runner)
====================================================
Cheers,
Stan H.

RELATED QUESTIONS
At 2:00pm a runner heads north on a highway, jogging at 10mph. At 2:30pm a driver heads... (answered by lwsshak3)

At 2:00 p.m. a runner heads north on a highway jogging at 10 miles per hour. At 2:30 p.m. (answered by Greenfinch)

at 2:00 p.m. a runner heads north on a highway jogging at 10 mph. at 2:30 p.m. a driver... (answered by Alan3354)

At 2:00 pm a runner heads north on a highway jogging at 10 mph. At 2:30 pm a driver heads (answered by ramkikk66)

at 2:00 p.m. a runner heads north on a highway jogging at 10mph. at 2:30 p.m. a driver... (answered by Alan3354,stanbon,mananth)

At noon, car A left town heading due East at 50 miles per hour. A 1:00PM, car B left the (answered by Boreal)

A motorcycle and a car leave an intersection at the same time. The motorcycle heads north (answered by dolly)

A motorcycle and a car leave an intersection at the same time. The motorcycle heads north (answered by checkley71,ankor@dixie-net.com)

a train heads west at 90 miles per hour. another train on teh same track is in front of... (answered by josgarithmetic)