SOLUTION: At the end of an amusement park ride, a boat lands in a pool, splashing out a lot of water. Three inlet pipes, each working alone, can fill the pool in 8 seconds, 12 seconds, and 1

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Question 739724: At the end of an amusement park ride, a boat lands in a pool, splashing out a lot of water. Three inlet pipes, each working alone, can fill the pool in 8 seconds, 12 seconds, and 16 seconds, respectively. How long would it take to fill the pool if all three inlet pipes are used?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the 3 pipe's rates of filling
( 1 pool filled ) / ( 8 sec ) + ( 1 pool filled ) / ( 12 sec ) + ( 1 pool filled ) / ( 16 sec )
= ( 1 pool filled ) / ( t sec )
+1%2F8+%2B+1%2F12+%2B+1%2F16+=+1%2Ft+
Multiply both sides by +48t+
+6t+%2B+4t+%2B+3t+=+48+
+13t+=+48+
+t+=+3.6923+
With all 3 pipes used, the pool is
filled in 3.6923 sec
check:
+1%2F8+%2B+1%2F12+%2B+1%2F16+=+1%2F3.6923+
+.125+%2B+.08333+%2B+.0625+=+.270833+
+.27083+=+.270833+
close enough