The Efficient Waterline
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The city needs to connect two houses to an existing water supply line using a single pump instead of two. House A and House B are located different distances from the supply line. To use the minimal amount of pipe, the pump should be located at the connection point that is the average distance from each house, minimizing the total pipe needed to connect both houses.
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- 1. Where to put the pump?
- 2. Do math to conserve! The city needs to connect two houses to an existing water supply line. The city wants to use a single pump at the supply line, instead of 2 pumps. The city wants to use a minimal amount of pipe extended to each house.
- 3. The houses are located at different distances from the supply line (as pictured). Where should the pump connection be located? Of course, you must justify your answer. House A Connection Point House B Connection Point Water Supply Line Locate the PUMP somewhere along this supply line.