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2 April, 12:26

Tom and sam can finish a plowing job in two hours if they work together. tom working alone can do the job in 7 hours. how long would it take sam to finish the same job alone

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  1. 2 April, 15:13
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    Tom’s Rate + Sam’s rate = Together rate

    Therefore, Sam’s rate = Together rate - Tom’s rate

    Sam's rate = 1/x job per hour

    Together rate = 1/2 job per hour

    Tom's rate = 1/7 job per hour

    Therefore,

    1/x = 1/2 - 1/7

    (multiply the equation by 14x; 14x is the lowest common multiple of the denominators)

    14 = 7x - 2x

    5x = 14

    x = 2.8 hours

    2.8 hours = 2 hours + (0.8 X 60) minutes

    0.8 X 60 = 48 minute

    Therefore, 2.8 hours = 2hrs 48 mins

    How long it would take Sam to finish the same job alone is 2hrs 48 mins.
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