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algebra

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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 -

    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.

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