In one hour Kyle can do 1/3 yard
In one hour Andres can do 1/4 yard
so in 8 hours they can do 8(1/3) + 8(1/4)
= 8(1/3 + 1/4) yards
= 8( 7/12) yards
= 14/3 yards or 4 2/3 yards
They can do 14/3 yards (houses) in 8 hours
then they can do 14 yards in x hours
(14/3) / 14 = 8/x
(14/3)x = 112
x = 112(3/14) = 24
it would take 24 hrs to do the 14 yards, at $6 per hour , that would be $144
Now, your turn.
What would be the ratio of the work done by the two boys?
Split your $144 into that ratio.
Kyle and Andrew decide to make some money by raking leaves in their neighborhood. The houses in their neighborhood each have half acre lawns. Kyle and Andrew each start by raking the leaves from their own yards. Kyle realizes it takes him 3 hours to rake one yard and Andrew takes 4 hours. Working together on Saturday, they spend 8 hours total raking yards around their neighborhood. How many yards did they rake? Express your answer as a mixed number.
Kyle and Andrew continue raking leaves again on Sunday and Monday after school. They rake the yard of every house in their neighborhood. There are 14 houses in their neighborhood. If they charge $6 per hour of work, how much money will Kyle and Andrew make after they are finished raking all of the leaves in the neighborhood?
Since Kyle raked at a faster rate than Andrew, Andrew suggests they split their earnings proportional to how much of the 14 yards they each raked. How much more money did Kyle earn than Andrew on their yard work?
2 answers
Didn’t it say it takes them 3 hours to do one yard and the other 4 hours? So if they did 14 yards wouldn’t it take 49 hours
1 answer