SOLUTION: Can you help with the following question? I think it needs to be laid out in table form first. I'd be grateful for detailed explanation. Thank you. Your brother starts out 10 mi

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Question 361452: Can you help with the following question? I think it needs to be laid out in table form first. I'd be grateful for detailed explanation. Thank you.
Your brother starts out 10 minutes before you on a bike path and rides at a rate of 9 miles per hour. If you ride at a rate of 12 miles per hour, how long will it take you to catch up with him?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Your brother starts out 10 minutes before you on a bike path and rides at a rate of 9 miles per hour. If you ride at a rate of 12 miles per hour, how long will it take you to catch up with him?
----
Brother DATA:
rate = 9 mph ; time = x+(1/6) hrs ; distance = rt = 9x+(3/2) miles
-------------------------
Your DATA:
rate = 12 mph ; time = x hrs ; distance = 12x miles
-----------------------------
Equation:
distance = distance
9x + (3/2) = 12x
3x = 3/2
x = 1/2 hour (time to catch your brother)
==============
Cheers,
Stan H.

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