Mathematics: Machines x and y work at their respective constant rates. how many more hours does it take machine y, working alone, to fill a production order of a certain size than it takes machine x, working alone? 1. machine x and y, working together, fill a production order of this size in two thirds the time that machine x does.2. machine y, working alone, fills a production order of this size in twice the time that machine x, working alone, does.

102.2 cubic inches is the answer...

Machines x and y work at their respective constant

deveshtewariri8584

14.01.2022

1) $\Delta t=-0.5*t_{X}$

2) $\Delta t=2*t_{X}$

Step-by-step explanation:

1) X=production rate of X (units/hour)

Y=production rate of Y (units/hour)

C=order (units)

t=working time (hour)

$(X+Y)*t_{toghether}=C$

$X*t_{X}=C$

$t_{toghether}=2/3*t_{X}$

Combining:

$(X+Y)*2/3*t_{X}=X*t_{X}$

(X+Y)*2/3=X

Y*2/3=X-2/3*X

Y=2X

In time: $t_{Y}=0.5*t_{X}$

Difference of time: $\Delta t=0.5*t_{X}-t_{X}=-0.5*t_{X}$

2) $Y*t_{Y}=C$

$X*t_{X}=C$

$t_{Y}=2*t_{X}$

Difference of time: $\Delta t=2*t_{X}-0.5*t_{X}=2*t_{X}$

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