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21 April, 04:27

If Jenna can build a tractor in 9 hours, Thomas can build a tractor in 7 hours, Rachel can build a tractor in 5/2 hours, and Paul can build a tractor in 2 hours, how long will it take them to build 15 tractors if all four start building tractors at midnight, Rachel leaves after 3 hours (3 am), Jenna leaves after 6 hours (6 am), and Rachel returns after 9 hours (9 am)

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  1. 21 April, 07:26
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    Around 16 hours

    (16 hours, 2.74 minutes)

    Step-by-step explanation:

    In 3 hours,

    Rachel has managed: 3 : 5/2 = 6/5

    In 6 hours,

    Jenna has managed: 6 : 9 = ⅔

    Till 9 am,

    Thomas and Paul have been woking and maneged:

    (9 : 7) : (9 : 2) = 81/14

    Total works done in first 9 hours:

    6/5 + 2/3 + 81/14 = 1607/210

    Remaining work:

    15 - 1607/210

    = 1543/210

    Rachel, Paul and Thomas complete this remaining job together in next 't' hours

    (t/2.5) + (t/2) + (t/7) = 1543/210

    73t/70 = 1543/210

    t = 7.0456621 hours

    Or 7 hours 2.74 mins

    Overall, it will take them around 9+7 = 16 hours to complete the task

    They'll be done at 1600

    Which is 4 pm
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