# If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?

##### 2 Answers

It will take

#### Explanation:

As Steven can mix

he can mix

As Sue can mix

she can mix

and as Jack can mix

he can mix

Hence, together all

i.e.

and

#### Explanation:

The least common multiple of

Steven:

Sue:

Jack:

So a total of

So to mix

#30*20/220 = 30/11 = 2.bar(72)# minutes.

If each was working on their own, then at the end of

Let us see how far they would get:

Steven:

Sue:

Jack:

So that's

Let us see how much more time they need to complete the partial drink:

Steven:

Sue:

Jack:

So we would have to wait

#30/11+3/11 = 33/11 = 3#

So

If it is possible to break down the stages of preparation of a drink in order that more than one person can work on it, then it may be possible to achieve the

For example:

- Jack completes
#1/11# th of a drink before handing it to Steven to complete. (Steven may finish making#10# whole drinks before he gets around to it) - Jack completes
#6/11# ths of a second drink before handing it to Sue to complete. (Sue may finish making#5# whole drinks before she gets around to it) - Jack completes
#3# whole drinks in the remaining time.