Problema Solution
Jena can build a fence in two days. Tommy can build the same fence in three days. Their son, Tommy Jr., can build the fence in six days. If all three worked together, how long would it take to build the fence?
Answer provided by our tutors
Jena can build a fence in two days thus her rate is 1/2 fence per day
Tommy can build the same fence in three days thus his rate is 1/3 fence per day
Their son, Tommy Jr., can build the fence in six days thus his rate is 1/6 fence per day
let x = the number of days they need to build the fence together thus the together rate is 1/x fence per day
1/2 + 1/3 + 1/6 = 1/x
by solving we find
x = 1 day
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if they work together they can build the fence in 1 day.