Pumps

The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than two one. How many minutes is filled with the first pump?

Result

t1 =  22.9 min

Solution:

16Q1+16Q2=1 Q1t1=1 Q2t2=1 t1=t2−30  t1=22.9 min t2=52.9 min Q1=0.0436 Q2=0.018916 Q_1 + 16 Q_2=1 \ \\ Q_1 t_1 = 1 \ \\ Q_2 t_2 = 1 \ \\ t_1 = t_2 - 30 \ \\ \ \\ t_1 = 22.9 \ \text{min} \ \\ t_2 = 52.9 \ \text{min} \ \\ Q_1 = 0.0436 \ \\ Q_2 = 0.0189

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