SOLUTION: Mr grainier, a cyclist rode from his home to his office at an average speed of 18 miles per hour. On his return from his office, using the same route, he averaged 12 miles per hou
Algebra ->
Expressions-with-variables
-> SOLUTION: Mr grainier, a cyclist rode from his home to his office at an average speed of 18 miles per hour. On his return from his office, using the same route, he averaged 12 miles per hou
Log On
Question 1120787: Mr grainier, a cyclist rode from his home to his office at an average speed of 18 miles per hour. On his return from his office, using the same route, he averaged 12 miles per hour. If the total trip took 5 hours, what was the distance from his home to his office. Answer by ikleyn(52784) (Show Source):
Let D be the distance under the question (one way distance).
Then you have this time equation
+ = 5 hours (showing the sum oftimes in each direction).
To solve it, multiply both sides by 36. You will get
2D + 3D = 5*36
5D = 5*36 ====> D = 36.
Answer. One way distance is 36 miles.
Check. + 36/12}}} = 2 + 3 = 5. ! Correct !
