SOLUTION: mulder and scully are driving to Georgia to investigate "big blue" a giant reptile reported in one of the local lake. mulder leaves the office at 8:30 am averaging 65mph. scully le

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Question 781227: mulder and scully are driving to Georgia to investigate "big blue" a giant reptile reported in one of the local lake. mulder leaves the office at 8:30 am averaging 65mph. scully leaves the office at 9:00am following the same path and averaging 68mph. at what time will scully catch up with mulder
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
mulder leaves the office at 8:30 am averaging 65mph.
scully leaves the office at 9:00am following the same path and averaging 68mph. at what time will scully catch up with mulder
:
let t = S's travel time
then
(t+.5) = M's travel time
:
When S catches M, they will have traveled he same distance
Write a distance equation; dist = speed * time
68t = 65(t+.5)
68t = 65t + 32.5
68t - 65t = 32.5
3t = 32.5
t = 32.5/3
t = 10.833 hrs fro S to catch M
:
10.833 hrs = 10 + .8333(60) 10 hrs 50 min
From 9 AM that would be 7:50 PM, right?
:
:
We can confirm this by finding the dist of each, (should be the same)
68 * 10.83 ~ 736 mi
65(10.83 + .5) ~ 736 mi