Question

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

Answer 1

Answer:

Q was opened for three hours.

Step-by-step explanation:

let P alone take x hours and

Q alond take y hours to fill the tank.

ATQ, Q is opened for half the time taken by P

alone to fill the tank.

therefore time for which Q was opened=x/2

time for which P was opened=x/2

eq.

x/2+x/2=6

2x/2=6

x=6

now time for which Q was opened=x/2=6/2

=3hours