SOLUTION: you leave your house and walk half an hour at a speed of 3 miles per hour. then you run for 15 minutes at a speed of 7 miles per hour. You ae halfway to town. Write and solve an eq

Algebra ->  Equations -> SOLUTION: you leave your house and walk half an hour at a speed of 3 miles per hour. then you run for 15 minutes at a speed of 7 miles per hour. You ae halfway to town. Write and solve an eq      Log On


   

Question 1112634: you leave your house and walk half an hour at a speed of 3 miles per hour. then you run for 15 minutes at a speed of 7 miles per hour. You ae halfway to town. Write and solve an equation to find the distance from your house to town.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Half hour means 1%2F2 hour.
15 minutes means 1%2F4 hour.

Basic rule for constant travel rates is %28RATE%29%28TIME%29=DISTANCE.

Your problem describes the sum of two distances. That sum is given or described as HALF of a full distance.

---
3%2A%281%2F2%29%2B7%281%2F4%29=d%2F2
-
3%2B7%2F2=d
6%2F2%2B7%2F2=d
13%2F2=d
highlight%28d=6%261%2F2%29