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20 February, 07:41

Melissa and Jane are planting trees. Melissa plants 10 trees in 1 hour. Jane plants 17 tree in 2 hours.

Enter an equation that can be used to find the number of hours t, takes Melissa and jane to plant 111 trees together

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  1. 20 February, 07:54
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    6 hours

    Step-by-step explanation:

    Let both of them plan for t hours to plant 111 trees n t hours

    Melissa can plants 10 trees in 1 hour

    in t hours she can plant 10 t trees

    Jane plants 17 tree in 2 hours

    in one hour Jane can plant 17/2 trees

    in t hours she can plant (17/2) t trees.

    Total trees planted by both of them in t hours in terms of t will be

    10t + (17/2) t

    = (10t*2 + 17t) / 2

    = (20t + 17t) / 2

    = 37t/2

    but it is given that they planted 111 trees together

    so 37t/2 should be equal to 111

    37t/2 = 111

    => 37t = 111*2 = 222

    => t = 222/37 = 6.

    Thus, it takes 6 hours for both of them to plant 111 trees together.
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