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【OG20-P163-110题】
Working simultaneously and independently at an identical constant rate, four machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days?
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预约名师一对一题目解析课程题目：某型号机器4台同时或独自以同样的常速工作，用6天完成X单位的产品P，问多少台这种机器同时或独自以这样的速度工作，可以用4天完成3X单位的P产品。
解答：4台机器完成X单位的产品P需要6天，则完成3X单位的P产品需要18天，所以任务量为4*18，而要在4天完成这么多任务，需要（4*18）/4=18（台）
题目讨论 （2条评论）
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bubbles
In this problem, let's call the rate at which 1 machine can make a product R, where R has units products/days. Also, "work" in this case is expressed in # of products. So, given the information in the prompt, x = 4R*6 The rate of 4 machines is simply 4 multiplied by R, the rate of one machine. And in the equation above, x is the number of products produced, while 6 is the number of days it takes 4 machines to make x products. Let's solve for R: x = 4R*(6 days) x = 24R x/24 = R Now that we've solved for the rate of one machine, we can use that value to find the number of machines it takes to make 3x products in 4 days: 3x = n*R*(4days) 3x = n*(x/24)*4days where n is the number of machines. Solving for n, we see that 3x = n*x/6 3 = n/6 18 = n So, it would take 18 machines to make 3x products in 4 days.
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2019-01-03 05:18:27
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Coro
4台6天产量x 一台一天的产量为x/4·6=x/24 问多少台4天能产3x 先算一天需要产多少=3x/4 需要台数=3x/4➗x/24=18
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2018-10-26 11:17:24
