SOLUTION: At noon you leave city X driving to city Y at 40mph. Two hours later your friend leaves city Y driving to city X at 60mph. The cities are 380 mile apart. What time do you meet?

Question 507601: At noon you leave city X driving to city Y at 40mph. Two hours later your friend leaves city Y driving to city X at 60mph. The cities are 380 mile apart. What time do you meet?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
At noon you leave city X driving to city Y at 40mph. Two hours later your friend leaves city Y driving to city X at 60mph. The cities are 380 mile apart. What time do you meet?
**
let x=your driving time
x-2= friend's driving time
distance=speed*driving time
40x+60(x-2)=380
40x+60x-120=380
100x=500
x=5 hrs
ans:
You meet your friend at 5 PM
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How much of a head start do you get?

mi
The distance between you is now mi
Start a stopwatch when your friend leaves- you both
will now travel for the same amount of time until you meet
Write both equations of motion:
For you:
(1)
For friend:
(2)
Substitute (1) into (2)
(2)
(2)
(2)
You will meet a 5 o'clock ( 2 o'clock + 3 hrs )
check answer:
for you:
(1)
(1)
(1)
For friend:
(2)
(2)
(2)
(2)
OK
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