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shailesh

· started a discussion

· 1 Months ago

wrong solution (Question: 117212.0 )

pls check it will come 12 minutes as total work is 120 together they will do in 120/7 mins but it has to be completed in 24 minutes so after 12 mins 84 work has completed now left 36 work it will be completed by a in 36/3=12 that is 24 mins

Question:
Two pipes A and B can fill a cistern in 30 minutes and 40 minutes respectively. Both the pipes are turned on simultaneously. When should the second pipe be closed, if the cistern is to be filled in 24 minutes?
Options:
A) 6 min
B) 8 min
C) 10 min
D) 12 min
Solution:
Ans: (b) Pipe A can fill \(\cfrac{1}{30}\) of the cistern in one minute 

Pipe B can fill \(\cfrac{1}{40}\) of the cistern in one minute 

Pipe A and pipe B together can fill \(\cfrac{1}{30}+\cfrac{1}{40}=\cfrac{7}{120}\) 

of the cistern in one minute 

\(\therefore\) In k minutes, pipe A and pipe B can fill \(\cfrac{7k}{120}\) of the cistern

\(\therefore\cfrac{120-7k}{4}+k=24\Rightarrow k=8\)

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