SOLUTION: two pumps were required to pump the water out of a submerged area after a hurricane. Pump A,the large of the two pumps can pump the water out in 36 hours,whereas it would take pump
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Question 615958: two pumps were required to pump the water out of a submerged area after a hurricane. Pump A,the large of the two pumps can pump the water out in 36 hours,whereas it would take pump B 180 hours. both pumps were working for the first 9 hours until pump A broke. how long did it take pump B to pump out the remaining water? Found 2 solutions by scott8148, ankor@dixie-net.com:Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! two pumps were required to pump the water out of a submerged area after a hurricane.
Pump A, the large of the two pumps can pump the water out in 36 hours, whereas it would take pump B 180 hours.
Both pumps were working for the first 9 hours until pump A broke.
How long did it take pump B to pump out the remaining water?
;
Let t = time to pump out the remain water
:
Let the completed job = 1, (all water pumped out)
: + = 1
Reduce the fraction + = 1
: = 1 - =
cross multiply
4(t+9) = 3 * 180
4t + 36 = 540
4t = 540 - 36
4t = 504
t = 504/4
t = 126 hrs to complete the job