SOLUTION: Peter can walk 1 mile in 10 minutes. He can ride a bike 1 mile in 2 minutes. if it takes Peter 60 minutes to walk to, and ride a bike back from his Uncle's house, how many miles

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Question 504730: Peter can walk 1 mile in 10 minutes. He can ride a bike 1 mile in 2 minutes. if it takes Peter 60 minutes to walk to, and ride a bike back from his Uncle's house, how many miles did he travel?
Answer by ankor@dixie-net.com(22740) (Show Source):
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Peter can walk 1 mile in 10 minutes.
He can ride a bike 1 mile in 2 minutes.
if it takes Peter 60 minutes to walk to, and ride a bike back from his Uncle's house, how many miles did he travel?
:
Change 1 mi in 10 min to .1 mi/min
Change 1 mi in 2 min to .5 mi/min
:
let d = the one-way distance to Uncle's house
:
Write time equation, time = dist/speed
:
walk time + ride time = 60 min
+ = 60
divide the decimals in the denominator into 1 in numerator and you have
10d + 2d = 60
12d = 60
d =
d = 5 miles one-way or 10 mi round trip
;
:
confirm this
+ =
50 + 10 = 60 min