Heidi cann paint the fence in 20 hours. Hortense can paint the fence in 14 hours

Question

Heidi cann paint the fence in 20 hours. Hortense can paint the fence in 14 hours. How long would it take them to paint the fence if they worked together? Round to the nearest of an hour. Wanda can set the gopher traps in three hours. Yolanda can set the gopher traps in five hours. They start selling the traps together, but Wanda gets bitten by the biggest gopher you've ever seen and has to run to the ER How much longer will take Yolanda to finish setting the traps? Round to the nearest tenth of an hour.

Explanation / Answer

Suppose there's work = W

Work rate of heidi = W/20 per hr

Work rate of hortense = W/14 per hr

If they work together for 1 hr

W = t/20 + t/14 = 34*t/280 per hr

Total time to complete the job =

t = 280/34 = 8.235 hr

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