Brandon can shovel his sidewalk in 8 minutes, while his brother can shovel the walk in 12 minutes. I

Discussion in 'Calculator Requests' started by math_celebrity, Nov 25, 2022.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Brandon can shovel his sidewalk in 8 minutes, while his brother can shovel the walk in 12 minutes. If they work together, how long will it take them to shovel the sidewalk?

    Set up unit rates:
    • Brandon can shovel 1/8 of a sidewalk per minute
    • His brother can shovel 1/12 of a sidewalk per minute
    Together, they can shovel:
    1/8 + 1/12 = 5/24 of a sidewalk per minute
    1 minute = 60 seconds

    5/24 / 60 seconds = 1/x seconds
    5/24 * 60 = 1/x
    5/1440 = 1/x

    Using our proportion calculator, we get:
    x = 288

    288/60 = 4 minutes and 48 seconds
     

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