arrow
arrow
arrow
Two pipes A and B can fill the tank in 40 and 60 minutes, respectively. Both the pipes are opened together. After how many minutes should the pipe B b
Question

Two pipes A and B can fill the tank in 40 and 60 minutes, respectively. Both the pipes are opened together. After how many minutes should the pipe B be turned off, so that the tank be fill in 30 minutes?

A.

15 min

B.

25 min

C.

20 min

D.

28 min

Correct option is A

Given:

- Pipe A can fill the tank in 40 minutes.

- Pipe B can fill the tank in 60 minutes.

- Both pipes are opened together, and the tank should be filled in 30 minutes.

Solution:

We will use the LCM method to calculate the time after which Pipe B should be turned off.

Let the time for which Pipe B is open be 't' minutes.

The work done by Pipe A in 1 minute = 1/40

The work done by Pipe B in 1 minute = 1/60

We need to calculate 't' such that the total work done in 30 minutes equals 1 (the whole tank).

Work done by Pipe A in 30 minutes = 30 × (1/40) = 30/40 = 3/4

Now, let Pipe B be open for 't' minutes. Work done by Pipe B in 't' minutes = t × (1/60) = t/60

The total work done should be 1 (i.e., the tank should be full):

Work done by Pipe A + Work done by Pipe B = 1

34+t60=1 =>t60=134=14 =>t=(14)×60=15\frac{3}{4} + \frac{t}{60} = 1 \\\ \\=> \frac{t}{60} = 1 - \frac{3}{4} = \frac{1}{4} \\\ \\=> t = (\frac{1}{4}) × 60 = 15​ minutes

Pipe B should be turned off after 15 minutes so that the tank is filled in 30 minutes. 

Free Tests

Free
Must Attempt

RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB Group D Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘RRB Technician Grade 3’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
446k+ students have already unlocked exclusive benefits with Test Prime!

Similar Questions

Our Plans
Monthsup-arrow