Question
Pipe L can fill a pool in 30 hours and pipe M in 45
hours. If both the pipes are opened in an empty pool, how much time will they take to fill it?Solution
Pipe L fills the pool in 30 hours, so its rate is {1/30} per hour. Pipe M fills it in 45 hours, so its rate is {1/45} per hour. Together, their rate is {1/30} + {1/45} = {3/90} + {2/90} = {5/90} = {1/18}. So, both pipes together will fill the pool in 18 hours.
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