SOLUTION: A man rides a bike a straight distance at a speed of 10 miles per hour. He came back the same way, traveling the same distance at a speed of 20 miles per hours. What was the man's

Question 259807: A man rides a bike a straight distance at a speed of 10 miles per hour. He came back the same way, traveling the same distance at a speed of 20 miles per hours. What was the man's total number of miles for the trip back and forth if his total traveling time was one hour??
Thank you!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A man rides a bike a straight distance at a speed of 10 miles per hour.
He came back the same way, traveling the same distance at a speed of 20 miles per hours.
What was the man's total number of miles for the trip back and forth if his total traveling time was one hour??
:
Let d = no. of miles one-way
:
Write a time equation: Time = dist/speed
:
Time there + time back = 1 hr
+ = 1
Multiply equation by 20, get rid of the denominators, results:
2d + d = 20
3d = 20
d =
d = 6 (miles one way)
Therefore
2(6) = 13 total miles
:
:
Check on a calc;
6.67/10 + 6.67/20 =
.667 + .333 = 1
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