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It takes 4 cooks 4 hours to bake 4 cakes.

This topic has 3 expert replies and 0 member replies
ahmedshafea Junior | Next Rank: 30 Posts
Joined
30 Aug 2017
Posted:
19 messages

It takes 4 cooks 4 hours to bake 4 cakes.

Post Mon Sep 11, 2017 12:58 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    It takes 4 cooks 4 hours to bake 4 cakes. Assuming no change of rate, how many hours will it take 8 cooks to bake 8 cakes?

    I really can't solve this problem. I am having problem in approach.
    Every time I see work problems I am stuck in approach.

    In this question, I was approaching like
    14-4-414-4-4

    calculating the cakes baked by 1 cook in 1 hour. I don't even know if I am right.
    but now I am stuck can anyone help me.

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    Post Mon Sep 11, 2017 1:30 pm
    ahmedshafea wrote:
    It takes 4 cooks 4 hours to bake 4 cakes. Assuming no change of rate, how many hours will it take 8 cooks to bake 8 cakes?
    This tells us that EACH cook takes 4 hours to bake ONE cake
    So, FOUR cooks take 4 hours to bake FOUR cakes (as in the question)
    And,...EIGHT cooks take 4 hours to bake EIGHT cakes

    Answer: 4 hours

    Cheers,
    Brent

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    Post Mon Sep 11, 2017 7:36 pm
    Hi ahmedshafea,

    When dealing with these types of rate questions, it helps to define the amount of 'work' needed to get to the end result.

    Here, we're told that there are 4 cooks working 4 hours each... this means that there are
    (4 cooks)(4 hours each) = 16 hours of cook-time needed to make those 4 cakes.

    By extension, each cake takes 16/4 = 4 hours of cook-time. Thus, to make 1 cake, you could have...
    1 cook work for 4 hours
    2 cooks work for 2 hours each
    4 cooks work for 1 hour each
    8 cooks work for 1/2 hour each.
    Etc.

    We're asked how long it would take 8 cooks to make 8 cakes... Since each cake requires 4 hours of cook-time, it would take (8)(4) = 32 hours of cook-time to make those 8 cakes. With 8 cooks, that would be 32/8 = 4 hours each.

    Final Answer: 4 hours

    GMAT assassins aren't born, they're made,
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    Thanked by: Mo2men
    Post Tue Sep 12, 2017 2:44 am
    ahmedshafea wrote:
    It takes 4 cooks 4 hours to bake 4 cakes. Assuming no change of rate, how many hours will it take 8 cooks to bake 8 cakes?

    I really can't solve this problem. I am having problem in approach.
    Every time I see work problems I am stuck in approach.

    In this question, I was approaching like
    14-4-414-4-4

    calculating the cakes baked by 1 cook in 1 hour. I don't even know if I am right.
    but now I am stuck can anyone help me.
    Use the following equation:

    (workers)(time) / output = (workers)(time) / output

    In the equation above:
    Workers and time are INVERSELY PROPORTIONAL.
    As the number of workers increases, the amount of time required to produce the same output decreases.
    Workers and output are DIRECTLY PROPORTIONAL.
    As the number of workers increases, the amount of output also increases.
    Time and output are also DIRECTLY PROPORTIONAL.
    As the amount of time increases, the amount of output also increases.

    In the problem above:
    (4 cooks)(4 hours) / (4 cakes) = (8 cooks)(x hours) / (8 cakes)
    4 = x.

    The correct answer is 4 hours.

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    Thanked by: Mo2men
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