Problema Solution

jane can sew a dress in 3 hours. Helen can sew a dress in 2 hours. If they work together, how long will it take them to complete a dress?

Answer provided by our tutors

let 'x' represent the number of hours Jane and Helen need to complete the dress together, x>0


1/x dress/hour is the together rate


Jane can sew a dress in 3 hours thus her rate is 1/3 dress/hour


Helen can sew a dress in 2 hours thus her rate is 1/2 dress/hour


1/3 + 1/2 = 1/x


by solving we find:


x = 1.2 hr


x = 1 hour 0.2*60 min


x = 1 hr 12 min


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it will take them 1 hour and 12 minutes to complete the dress together.