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Concurrent Work Problems t t Use the formula 1 to solve a b work word problems. t = time together a = first individuals time b = second individuals time 1 = the entire job If Shelly can mow the yard in 3 hours and Kenny’s brother can mow the yard in 2 hours, how long will it take if they mow the lawn together ? t t 1 3 2 2t 3t 6 5t 6 1 t 1 hours 5 Wendy can build a clubhouse in 3 hours and Bebe can build a clubhouse in 4 hours, how long will it take if they build one clubhouse together? t t 1 3 4 4t 3t 12 7t 12 5 t 1 hours 7 Shoveling Snow After a heavy snowfall, Butters can shovel all of the driveway in 30 minutes. If Pip helps, the job takes only 20 minutes. How long would it take Pip to do the job by himself? Shoveling Snow After a heavy snowfall, Butters can shovel all of the driveway in 30 minutes. If Pip helps, the job takes only 20 minutes. How long would it take Pip to do the job by himself? 20 20 1 30 b 20 20 30b 130b 30 b 20b 600 30b 600 10b 60 b Conclusions • Pip’s rate was 60. • If Pip shoveled the drive way by himself it would take 60 minutes or 1 Hour. Work & Motion Word Problems