SOLUTION: You are driving a car at 45 mph. Your friend is driving his car at 47 mph and leaves 2 hours after you. The two of you follow the same route in the same direction. How long until

Question 325948: You are driving a car at 45 mph. Your friend is driving his car at 47 mph and leaves 2 hours after you. The two of you follow the same route in the same direction. How long until your friend catches up with you?
Found 2 solutions by solver91311, mananth:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

During the two hour head start, you have gone

So the question becomes how long does it take someone going to travel 90 miles?

All in all, a completely ludicrous scenario, but no one said math problems had to actually represent real life, did they?

John

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
You are driving a car at 45 mph. Your friend is driving his car at 47 mph and leaves 2 hours after you. The two of you follow the same route in the same direction. How long until your friend catches up with you?
..
You are driving at 45 mph.
let the friend meet you after he has traveled x miles
speed = 47mph
the time taken by your friend to travel x miles x/47
..
In 2 hours you have already traveled 90 miles.
During this time you travel x-90 miles
time taken by you = x-90 / 45.
..
x-90 /45 = x/47
47(x-90)=45x
47x-4230=45x
47x-45x=4230
2x=4230
x=2115 miles
..
Distance when he catches up = 2115 miles
His speed = 47mph.
so time taken = 2115/47
45 hours
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