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6 September, 20:27

Mark can clear a lot in 1.5 hours. His partner can do the same job in 3.5 hours. How long will it take them to clear the lot working together?

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Answers (2)
  1. 6 September, 21:19
    0
    1.05 hours

    Step-by-step explanation:

    We need to use the least common multiple of 1.5 and 3.5 which is 10.5.

    Thus we find how many lots each one will clear in 10.5 hours

    Mart clears 1 lot in 1.5 hours

    Number of Lots Time

    1 ⇒ 1.5 hours

    so in 10.5 hous:

    Number of Lots Time

    1 ⇒ 1.5 hours

    x ⇒ 10.5 hours

    the x is found by rule of three: multiply the cross quantities in the table (1 and 10.5) and dividing by the remaining amount (1.5):

    x = 10.5*1/1.5

    x = 7 lots

    so Mark clears 7 lots in 10.5 hours.

    His partner clears 1 lot in 3.5 hous:

    Number of Lots Time

    1 ⇒ 3.5 hours

    so in 10.5 hous:

    Number of Lots Time

    1 ⇒ 3.5 hours

    x ⇒ 10.5 hours

    also by rule of three the x is:

    x = 10.5*1/3.5

    x = 3 lots

    His partner clears 3 lots in the same 10.5 hours.

    Thus, together:

    Number of Lots Time

    7+3 ⇒ 10.5 hours

    simplifying:

    Number of Lots Time

    10 ⇒ 10.5 hours

    and what we need to know is the time to clear one lot together:

    Number of Lots Time

    10 ⇒ 10.5 hours

    1 ⇒ x

    again, to find x we multiply cross quantities (10.5 by 1) and divide by the remaining amount (10):

    x = 10.5*1/10

    x = 1.05 hours

    It will take them 1.05 hours to clear the lot
  2. 6 September, 23:50
    0
    2.5 hours.

    Step-by-step explanation:

    This is the answer because you will need to add both of their times together then divide it by 2. You divide it by two because there are 2 people.
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