Home
Class 8
MATHS
Two filling pipes P and Q are fitted to ...

Two filling pipes P and Q are fitted to a tank. P is first opend for half the time taken by Q alone to fill the tank and then closed. Q is then opened for half the time taken by P alone to fill the tank.If the tank is full after a total of 6 hours after P was opened, for how many long was Q opened ? (in hours)

A

5

B

4

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Let the time takenby P and Q to fill the tank invididually be x hours and y hours respectively and proceed.
(ii) Let P takes x hours and Q takes y hours.
(iii) Then P is opnend for `(y)/(2)` hours and Q for `(x)/(2)`hours.
(iv) Frame the equations and solve for y, i.e.,
`(x)/(2)+(y)/(2)=6` and `((y)/(2))/(x)+((x)/(2))/(y)=1`.
Promotional Banner

Topper's Solved these Questions

  • TIME AND WORK PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-2)|20 Videos

  • TIME AND DISTANCE

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 2 )|3 Videos

  • TIME AND WORK, PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-3)|7 Videos

Similar Questions

Explore conceptually related problems

Two pipes A and B can fill a tank in 6 hours and 3 hours respectively.Both the pipes are opened simultaneously and pipe A is closed after 1hours.Find the time taken by B to fill the remaining part of the tank (in hours).

A pipe can fill a tank in 20 min and another pipe can fill a tank in 30 min. Pipe A is opened for half of the time and pipe A and B are opened for the other half. How long will it take to fill the tank?

A pipe can fill a tank in 20 min and another pipe can fill a tank in 30 min. Pipe A is opened for half of the taime and pipe A and B are opened for the other half. How long will it take to fill the tank?