A, B, C three water pipes, open a pipe alone 5 hours to fill the pool; a and B two pipes open together, 2 hours to fill the pool; a and C two pipes open together, 3 hours to fill the pool. Now open a, B, C three pipes together, after a period of time a pipe failure to stop water injection, but 2 hours later the pool full, ask a, B, C three pipes together put how much time Water?

A, B, C three water pipes, open a pipe alone 5 hours to fill the pool; a and B two pipes open together, 2 hours to fill the pool; a and C two pipes open together, 3 hours to fill the pool. Now open a, B, C three pipes together, after a period of time a pipe failure to stop water injection, but 2 hours later the pool full, ask a, B, C three pipes together put how much time Water?

The working efficiency of pipe B is 12-15 = 310, the working efficiency of pipe C is 13-15 = 215, the three pipes a, B and C discharge water together: 1 - (310 + 215) × 2, = 1-1315, = 215; the three pipes a, B and C discharge water together: 215 △ 15 + 310 + 215, = 215 △ 1930, = 215 × 3019, = 419 (hours)