Reese is installing an in-ground rectangular pool in her backyard. Her pool will be 30 feet long, 14 feet wide, and have an average depth of 8 feet. She is installing two pipes to bring water to fill the pool; these pipes will also be used to drain the pool at the end of each season. One pipe can fill and drain the pool at a rate that is 1 more than 2 times faster than the other pipe. If both pipes are open and working properly, it will take 3.5 hours to fill the pool. When Reese opens the pipes to fill the pool, she finds that only the slower pipe is working. Write a rational equation that you can use to find out how long it will take to fill the pool under these circumstances. Explain how you came up with your equation.
Reese is installing an in-ground rectangular
pool in her backyard. Her pool will be 30 feet
long, 14 feet wide, and have an average depth
of 8 feet. She is installing two pipes to bring
water to fill the pool; these pipes will also be
used to drain the pool at the end of each
season. One pipe can fill and drain the pool at
a rate that is 1 more than 2 times faster than
the other pipe. If both pipes are open and
working properly, it will take 3.5 hours to fill
the pool. When Reese opens the pipes to fill the pool, she finds that only the slower pipe is working. Write a rational equation that you can use to find out how long it will take to fill the pool under these circumstances. Explain how you came up with your equation.
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