Question

Machine P produces x number of dolls in 2 hours. Machine Q produces the same x
number of dolls in 3 hours. How much more does machine Q take to make 6 dolls
than machine P does?

A) 6x
B) x/6
C) 6/x
D) 9x

Answer 1

Answer:C) 6/x

Step-by-step explanation:

Answer 2

Answer:

the correct answer is option (c) 6/x

Step-by-step explanation:

Given :-

           the machine P produces x number of dolls in 2 hours.

            then the time taken by machine P to produce 1 doll will be = 2/x

           the machine Q produces x number of dolls in 3 hours.

            then the time taken by machine Q to produce 1 doll will be = 3/x

       

To find :-

           How much more time does machine Q take to make 6 dolls than machine P does

          time taken by machine P to produce 6 dolls =

time taken to produce 1 doll multiplied by 6 = (2/x)*6

         time taken by machine Q to produce 6 dolls =

time taken to produce 1 doll multiplied by 6 = (3/x)*6

Now we can find how much more time does machine Q take to make 6 dolls than machine P does by subtracting the time take by machine Q to produce 6 dolls by the time taken by machine P to produce 6 dolls

answer = time taken by machine Q to produce 6 dolls - time taken by machine P to produce 6 dolls

= ((3/x)*6) - ((2/x)*6)

= (18/x)-(12/x)

=6/x

thus we can say machine Q takes 6/x more time than machine P to produce 6 dolls

To solve problems like this, it's important to first understand the relationship between the number of dolls produced and the time it takes to produce them. In this case, we know that both machines produce the same number of dolls (x), but at different rates (2 hours for Machine P and 3 hours for Machine Q).

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