Posted by kate on .
Ben Cole was hired to shovel 100 tons of coal. He has been shoveling coal at a rate of 16 tons per day. After 3 days his brother Char joins him so they can finish the job faster. Char can shovel 10 tons per day.
Find the amount of the 100 tons shoveled by each brother and the amount of time each brother works shoveling coal.

algebra 
Henry,
3days * 16tons/day=48 Tons by Ben Cole
Bal. = 100  48 = 52 Tons.
X = The # of days they worked together.
10x + 16x = 52 tons.
26x = 52.
X = 2 Days.
48 + 16*2=80 Tons shoveled by Ben Cole
in 5 days(3+2).
100  80 = 20 Tons shoveled by Char in
2 days.