SOLUTION: The Clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of ti
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: The Clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of ti
Log On
Question 328826: The Clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. Their boat averaged 14 kilometers per hour. The Rourke family traveled 10 kilometers farther than the Clarke family. How many hours did each family spend on their boat trip? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The Clarke family went sailing on a lake.
Their boat averaged 6 kilometers per hour.
The Rourke family took their outboard runabout for a trip on the lake for the same amount of time.
Their boat averaged 14 kilometers per hour.
The Rourke family traveled 10 kilometers farther than the Clarke family.
How many hours did each family spend on their boat trip?
:
Let t = travel time for both boats
:
Write a distance equations: d = speed * time
:
R's dist - C's dist = 10 km
:
14t - 6t = 10
8t = 10
t =
t = 1.25 hrs on their boat trips
:
:
Check solution by finding the distances
14*1.25 = 17.5 km
6*1.25 = 7.5 km
-------------------
differ = 10 km; confirms our solution of t=1.25 hrs
