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Sarah can edge a large lawn in 3 hours. Jesse can edge a similar lawn in 2.5 hours. How long would it take Sarah and Jesse if they worked together?

2 Answers

5 votes

Answer:

The time = 15/11 =1 4/11 hours

Explanation:

User Teabot
by
4.4k points
4 votes

It takes sarah 3 hours to edge the lawn

so her rate = 1 lawn/ 3 hours

Jesse takes 2.5 hours, so his rate = 1 lawn / 2.5 hours

Together they will take a combined rate of sarah + Jesse

= 1/3 lawn/hour + 1/2.5 lawn/hour

= 1/3 + 1/5/2

= 1/3 + (1 x 2/5)

= 1/3 + 2/5 = 11/15 lawn/hour = 1/r

r = 1/11/15 = 15/11

The time = 15/11 =1 4/11 hours


\text{The time = 1}(4)/(11)hours

User ShayD
by
5.3k points