Problema Solution
a swimming pool holds 600000 lies of water. the pool has 2 drainage pipes. when the pool is completely fool, the first pipe alone can empty in 150mins, and the second pipe alone can empty in 100mins. when both pipes are draining together, how long does it take to empty the pool?
Answer provided by our tutors
the rate of the first pipe is:
v1 = 600,000/150 L/min = 4,000 L/min
the rate of the second pipe is:
v2 = 600,000/100 L/min = 6,000 L/min
let 'x' represent the time in minutes both pipes need to drain the pool together
the together rate is: 600,000/x L/min
now we have:
4,000 + 6,000 = 600,000/x
by solving we find:
x = 60 min
click here to see the step by step solution of the equation:
both pipes will need 60 minutes to drain the pool together.