SOLUTION: Lucas is 1/3 mile away from home bicycling at 20 miles per hour when his brother takes off on his bike to catch up. How fast must Lucas's brother go to catch him a mile from home.

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Question 267665: Lucas is 1/3 mile away from home bicycling at 20 miles per hour when his brother takes off on his bike to catch up. How fast must Lucas's brother go to catch him a mile from home.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Lucas is 1/3 mile away from home bicycling at 20 miles per hour when his brother takes off on his bike to catch up.
How fast must Lucas's brother go to catch him a mile from home.
:
Briefly, bro has to travel 1 mi in the same time that L travels 2/3 of a mile
:
Let s = bro's speed to accomplish difficult feat
:
Write a time equation: Time = dist/speed
:
bro's time = L's time
1%2Fs = %282%2F3%29%2F20
:
1%2Fs = 2%2F60
:
1%2Fs = 1%2F30
Cross multiply
s = 30 mph bro has pedal to catch L 1 mi from home
;
:
Check this by finding the times
1/30 = .033 hrs
.667/20 = .033 hrs (about 2 min)