Time for the Third Pump

A factory used two pumps to empty a tank. The first pump can empty the tank in 50 minutes, the second in 30 minutes. Both pumps were started simultaneously, but to empty the tank as quickly as possible, a third pump was also started after ten minutes. All three pumps then emptied the tank in 5 minutes. How long would it take the third pump to empty the tank on its own?

Final Answer:

t =  25 min

Step-by-step explanation:

T1=50 min T2=30 min  t/T1 15+t/T2 15+5=t t/50 15+t/30 15+5=t  30t=750  t=30750=25  t=25=25 min



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