SOLUTION: One pump can empty the pool in 36 hours. The second pump is twice faster. After both pumps, working together emptied 1/3 of a pool the second pump broke. The first pump finished

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One pump can empty the pool in 36 hours. The second pump is twice faster. After both pumps, working together emptied 1/3 of a pool the second pump broke. The first pump finished       Log On


   

Question 1056785: One pump can empty the pool in 36 hours. The second pump is twice faster. After both pumps, working together emptied 1/3 of a pool the second pump broke. The first pump finished the job. How long did it take to empty the pool?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
WHICHPUMP    RATE

FIRSTPUMP     1%2F36

SECONDPUMP    1%2F18

COMBINED     1%2F36%2B1%2F18

The pumps in arrangement used, emptied 1 pool. Volume unit is in "pools".

system%28%281%2F36%2B1%2F18%29%2At=1%2F3%2C%281%2F36%29%2Ax=2%2F3%29

total time to do all the emptying would be t%2Bx; and each variable is solvable.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
One pump can empty the pool in 36 hours. The second pump is twice faster. After both pumps, working together emptied 1/3 of a pool the second pump broke. The first pump finished the job. How long did it take to empty the pool?
Both pumps worked for 4 hours, and emptied 1%2F3 of pool.

The 1st (slower) pump took 24 hours to empty remaining 2%2F3 of pool. 

Total time taken to empty pool: highlight_green%28matrix%281%2C4%2C+4+%2B+24%2C+or%2C+28%2C+hours%29%29