SOLUTION: In one day Liam traveled five times the sum of the number of hours Sydney traveled and two.. Together they traveled 20 hours. Find the number of hours each person traveled

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: In one day Liam traveled five times the sum of the number of hours Sydney traveled and two.. Together they traveled 20 hours. Find the number of hours each person traveled       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 986882: In one day Liam traveled five times the sum of the number of hours Sydney traveled and two.. Together they traveled 20 hours. Find the number of hours each person traveled

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
In one day Liam traveled five times the sum
of the number of hours Sydney traveled and two.
Sydney travelled = x
Liam travelled = 5x + 2
Total hours travelled = 20 hours
x + (5x + 2) = 20
x + 5x + 2 = 20
Collect like terms
6x = 20 - 2
6x = 18
x = 3
Sydney travelled for 3 hours
Liam travelled for 17 hours.
Hope this helped :-)