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Linear Applications – Harder Versions

This set of challenging linear application problems presents three engaging scenarios. First, discover the speed of a plane as Cindy travels 420 miles to meet her son at the airport. Next, identify the current's speed as Joe rows upstream for a total of 5.5 hours at a constant rate of 4 mph. Finally, calculate the time it takes for Corey’s bathtub to fill while the drain is open, with the faucet filling it in 5 minutes and the drain emptying in 8 minutes. Put your math skills to the test with these real-world problems!

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Linear Applications – Harder Versions

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  1. Linear Applications – Harder Versions 1)Cindy leaves by plane to visit her son at college 420 miles away. 15 minutes later, her son leaves his apartment to meet her at the airport. It took Cindy’s son a half hour to drive the 20 miles to the airport. If he reached the airport at the same time the plane was landing, how fast was the plane going?

  2. Harder Distance Question: 2) Joe takes a rowboat upstream for 3 hours. He stops, eats lunch, and rows back the same distance. This time it takes 2.5 hours. If he is rowing at a constant rate of 4 miles per hour, what is the speed of the current?

  3. Harder Working together problem: 3) Corey is filling his bathtub up. The faucet can fill the tub in 5 minutes, and the drain can empty the tub in 8 minutes. Corey accidentally leaves the drain open while filling the tub for his nightly bath. How long does it take the bath-tub to fill up?

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