SATHEE: Quantitative Aptitude Ques 1573

Quantitative Aptitude Ques 1573

Question: Two pipes A and B can fill a tank in 36 min and 45 min, respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 min, C is also opened. The tank is filled up in

Options:

A) 39 min

B) 46 min

C) 40 min

D) 46 min

Show Answer

Answer:

Correct Answer: A

Solution:

Work done by pipes A and B in 1 min $ =\frac{1}{36}+\frac{1}{45}=\frac{5+4}{180}=\frac{9}{180}=\frac{1}{20} $ Work done by pipes A and B in 7 min $ =\frac{7}{20} $ Left work $ =1-\frac{7}{20}=\frac{13}{20} $ Now, work done by pipes A, B and C in 1 min $ =\frac{1}{36}+\frac{1}{45}-\frac{1}{30}=\frac{5+4-6}{180}=\frac{3}{180}=\frac{1}{60} $

$ \therefore $ Work done by A, B and C in x min = Left work

$ \Rightarrow $ $ x\times \frac{1}{60}=\frac{13}{20} $
$ \Rightarrow $ $ x=\frac{13}{20}\times 60=39\min $

Quantitative Aptitude Ques 1572

Quantitative Aptitude Ques 1574

Bank Preparation

IBPS Office Assistants

IBPS RRB Officers

Bank Courses

Recorded Course for English

Recorded Course for Reasoning

Recorded Course for Mathematics

NCERT Books

Important Resources

Banking Awareness

Financial Awareness

Forum

BETA

© 2025 Copyright SATHEE

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.