2 Views

Question : Two pipes A and B can fill a tank in 12 minutes and 24 minutes, respectively, while a third pipe C can empty the full tank in 32 minutes. All three pipes are opened simultaneously. However, pipe C is closed 2 minutes before the tank is filled. In how much time (in minutes) will the tank be full?

Option 1: 9

Option 2: 10

Option 3: 12

Option 4: 8


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 10


Solution : LCM of 12, 24 and 32 is 96
The capacity of the tank = 96 unit
Efficiency of pipe A = $\frac{96}{12}$
= 8 unit/min
Efficiency of pipe B = $\frac{96}{24}$
= 4 unit/min
Efficiency of pipe C = $\frac{96}{32}$
= – 3 unit/min
Combined efficiency of A + B + C = 9 unit/min
Let if C is not closed 2 minutes before then
Work done by C in 2 minutes = 2 × – 3 = – 6 unit
Total work done by all pipes = 96 + (– 6) = 90 unit
Required time = $\frac{\text{total work}}{\text{total efficiency }}$
Required time = $\frac{90}{9}$
= 10 minutes
Hence, the correct answer is 10.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books