Xand y work at constant rates. how many more hours does it take machine y, alone, to fill an order of a certain size than machine x alone? i. x and y together fill order in 2⁄3 the time that x alone does. ii. y alone does it in twice the time as x alone does.

Answer with explanation:

V=Volume of tank

It is given that, X and Y work at constant rates.

Let rate of doing work of X is x  hour.

And, Rate of Doing work of Y is y  hour.

Statement I----X and Y together fill order in 2⁄3 the time that X alone does.

                                         -------------------------------------------------(1)

Statement II----Y alone does it in twice the time as X alone does.

Substituting the value of y in 1

→x≠ -2, because Rate of doing work can't be negative.

Substituting the value of x in 1, gives

→Rate of doing work of X= 2 hour

→Rate of doing work of Y=1 hour

6 pairs of supplementary (when perpendicular)

a pair of complementary(0 for perpendicular)

4 pairs of adjacent

4 pairs of linear

2 pairs of vertical