Machine A, working alone at its constant rate, produces x pounds of peanut butte

游客2025-02-24 37

问题 Machine A, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. Machine B, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. How many minutes will it take machines A and B, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
______minutes

选项

答案 7.2

解析 Translating the given information into an algebraic expression, you see that machine A produces x/12 pounds of peanut butter in 1 minute, and machine B produces x/18 pounds of peanut butter in 1 minute. Therefore, working simultaneously, machine A and machine B produce

pounds of peanut butter in 1 minute.
Letting t be the number of minutes it takes machines A and B, working simultaneously, to produce x pounds of peanut butter, you can set up the following equation.

Solving for t, you get

The correct answer is 7.2.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship

转载请注明原文地址:http://tihaiku.com/zcyy/3970106.html

相关试题推荐

随机试题

最新回复(0)

Machine A, working alone at its constant rate, produces x pounds of peanut butte

Aballhasbeenrollingattheconstantratexcm/min.Howmanycentimetershas

Workingalone,asmallpumptakestwiceaslongasalargepumptakestofillan

Inafactory,machineAoperatesonacycleof20hoursofworkfollowedby4ho