SOLUTION: a swimming pool consists of 4 taps,for first tap it takes 1 hour,for second tap it takes 2 hours,for third tap it takes 3 hours and for fourth tap it takes 4 hours.how much time th

Question 757513: a swimming pool consists of 4 taps,for first tap it takes 1 hour,for second tap it takes 2 hours,for third tap it takes 3 hours and for fourth tap it takes 4 hours.how much time the swimming pool will take to fill up if all taps are opened?
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
The first tap fills 1/60 of the pool per minute (1/(60*1)).

The second tap fills 1/120 of the pool per minute (1/(60*2))

The third tap fills 1/180 of the pool per minute.

The fourth tap fills 1/240 of the pool per minute.

The formula for a job is Job (usually 1) = rate times time.

The rate is 1/60 + 1/120 + 1/180 + 1/240 = 12/720 + 6/720 + 4/720 + 3/720 = 25/720 = 5/144 of the pool per minute.

1 = 5/144 * t

1 * 144/5 = t = approximately 28.8 minutes, or 28 minutes, 48 seconds.

You can also express the rates as hourly. The first tap fills 1 pool per hour. The second fills 1/2 pool per hour. The third fills 1/3 pool per hour. The fourth fills 1/4 pool per hour. The combined rate is 1 + 1/2 + 1/3 + 1/4 = 12/12 + 6/12 + 4/12 + 3/12 = 25/12 of the pool per hour.

1 = 25/12 * t

12/25 = 5 = .48 hours = 28.8 minutes = 28 minutes, 48 seconds.

RELATED QUESTIONS
Two taps A & B altogether fill a swimming pool in 15 hrs. Taps A & B are kept open for 12 (answered by Theo)

two taps A and B together fill a swimming pool i 15 days . Tap A and B are kept open for... (answered by stanbon,ptaylor)

If it takes Tap A 4 hours to fill an empty tank and Tap B 6 hours to drain the same tank... (answered by Alan3354)

A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3... (answered by josmiceli)

To fill a water tank tap A takes 3 hours and to fill half of the tank tap B takes 2... (answered by stanbon)

It takes 8 minutes for water from a tap to fill up a 30-gallon tank what is the rate of... (answered by josmiceli)

Two taps A and B fill a swimming pool together in two hours. Alone, it takes tap A three... (answered by richwmiller)

Tap P takes 3 hours to fill a tank, Tap R takes 6 hours to fill the tank.If tap R opens... (answered by josgarithmetic)

if one tap fills a basin in one hour, and if a second tap takes two hours how long will... (answered by kevwill)