SOLUTION: Lucas is 1/3 of a mile away from home, bicycling at 20mph, 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?

Question 384138: Lucas is 1/3 of a mile away from home, bicycling at 20mph, 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) (Show Source): You can put this solution on YOUR website!
Lucas is 1/3 of a mile away from home, bicycling at 20mph,
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?
:
We can are phrase this problem to:
Brother will have to travel 1 mile in the same time Lucas travels 2/3 of mile
Let s = brother's speed to accomplish this
:
Write a time equation; Time = dist/speed
=
Cross multiply
s = 20
2s = 3(20)
2s = 60
s = 30 mph would be the brother's speed
:
:
Confirm this find the time of each, should be equal
1/30 = .033 hr
.67/20 = .033 hr
RELATED QUESTIONS
Lucas is 1/3 mile away from home bicycling at 20 miles per hour when his brother takes... (answered by ankor@dixie-net.com)

David is 1/4 mile from home bicycling at 21 mph when his brother takes off on his bike... (answered by ankor@dixie-net.com)

Fifteen minutes after a boy left for school on his bike, his mother noticed that he left... (answered by ankor@dixie-net.com)

Billy leaves home walking to school at 1.7 m/s. His sister Sally is running a bit late... (answered by lwsshak3)

I have no idea how to go about this problem, could you please help me with the set up and (answered by ankor@dixie-net.com)

Joe leave his home to run to school at a Constant rate of 6 mph. His brother John was... (answered by ankor@dixie-net.com,josgarithmetic)

Mandy begins bicycling W at 20mph. Liz leaves from the same pont 1 hour later bicycling... (answered by scott8148)

When Samuel rides his bike at a speed of 22mph, it takes him 30 minutes to get home.... (answered by stanbon)

Sophia sets off on a walk at a speed of 6km/h. 10 minutes later, her brother Ali sets off (answered by 03008082502)