SOLUTION: one pipe can fill a swimming pool in 10 hours. if a second pipe is used together with the first pipe, the pool can be filled in 6 hours. how long would it take the second pipe alon

Algebra ->  Rate-of-work-word-problems -> SOLUTION: one pipe can fill a swimming pool in 10 hours. if a second pipe is used together with the first pipe, the pool can be filled in 6 hours. how long would it take the second pipe alon      Log On


   

Question 689374: one pipe can fill a swimming pool in 10 hours. if a second pipe is used together with the first pipe, the pool can be filled in 6 hours. how long would it take the second pipe alone to fill the pool?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
one pipe can fill a swimming pool in 10 hours. if a second pipe is used
together with the first pipe, the pool can be filled in 6 hours. how long would
it take the second pipe alone to fill the pool?
We are given the first pipe's filling rate as 1 pool per 10 hours, or
%281_POOL%29%2F%2810_HOURS%29 or 1%2F10POOL%2FHR%29

We let X = the number of hours it takes ths second pipe to fill the pool.

So we can say the second pipe's filling rate is 1 pool per X hours, or
%281_POOL%29%2F%28X_HOURS%29 or 1%2FXPOOL%2FHR%29.

We are given their combined filling rate as 1 pool per 6 hours, or
%281_POOL%29%2F%286_HOURS%29 or 1%2F6POOL%2FHR%29.

The equation comes from:

      %28matrix%285%2C1%2C%0D%0A%0D%0AThe%2C+first%2C+%22pipe%27s%22%2C+filling%2C+rate%29%29%22%22%2B%22%22%28matrix%285%2C1%2C%0D%0A%0D%0AThe%2C+second%2C+%22pipe%27s%22%2C+filling%2C+rate%29%29%22%22=%22%22%28matrix%284%2C1%2C%0D%0A%0D%0ATheir%2C+combined%2C+filling%2C+rate%29%29.

              1%2F10%22%22%2B%22%221%2FX%22%22=%22%221%2F6

Solve that by getting an LCD of 30X

Answer:  X = 15 hours.

Edwin