A chocolate fudge machine uses 4 different nozzles to make a glass of fudge. A for vanilla ice-cream, B for chocolate ice-cream, C for fruits and nuts and D for crème fresh The nozzles A, B, C, D can separately fill the glass in 30, 40, 20 and 10 seconds respectively. The machine opens each nozzle one by one for a second in the sequence ABCDABCDABCD.... In how many seconds can the machine make a chocolate fudge ?​

Answers 2

Answer:

The answer is 20.865 [ 21 sec approximately ]

Step-by-step explanation:

Given data

A chocolate fudge machine uses 4 different nozzles to make a glass of fudge A for vanilla ice-cream, B for chocolate ice-cream, C for fruits and nuts and D for fresh crèam

A can fill the glass in 30 sec;  B can fill the glass in 40 sec

C can fill the glass in 20 sec;  D can fill the glass in 10 sec  

To fill a glass the machine opens each nozzle one by one for a second

in the sequence A B C D A B C D A B C D...  

Here we need to find in how many seconds the machine can make a chocolate fudge ?

As per the given sequence  

For 1st sec  A nozzle can fill  [tex]\frac{1}{30}[/tex] of the glass

For 2nd sec B nozzle can fill [tex]\frac{1}{40}[/tex] of the glass

For 3rd sec C nozzle can fill [tex]\frac{1}{20}[/tex] of the glass

For 4th sec D nozzle can fill [tex]\frac{1}{10}[/tex] of the glass

Therefore,

for 4 sec the part of the glass can be filled = [tex]\frac{1}{30} +\frac{1}{40} + \frac{1}{20} + \frac{1}{10}[/tex]

                                                                       = [tex]\frac{4+3+6+10}{120} = \frac{23}{120}[/tex]  

In 4 sec [tex]\frac{23}{120}[/tex] of the glass can be filled

Therefore, time taken to fill 1 glass =  [tex]\frac{120}{23} (4)= \frac{388}{23} = 20.865[/tex] sec

#SPJ3

Answer:

19

Step-by-step explanation:

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