Kirsten will do yard work with Ryan during July. Kirsten mows the lawn every third day and Ryan waters the lawn every fourth day. They both trim the hedges every Saturday. Both begin their work on Monday July 1. After the first day, will Kirsten and Ryan work on the same day again? Explain. Will Kirsten and Ryan have to do two jobs on one day? Explain how you know.

Question

Mathematics

Nathaniel Woodard

9 July, 11:48

Kirsten will do yard work with Ryan during July. Kirsten mows the lawn every third day and Ryan waters the lawn every fourth day. They both trim the hedges every Saturday. Both begin their work on Monday July 1. After the first day, will Kirsten and Ryan work on the same day again? Explain. Will Kirsten and Ryan have to do two jobs on one day? Explain how you know.

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Answers (1)

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Madison Sheppard · Answer 1

Let Kirsten and Ryan start their work on 1 st of July.

Kirsten working days are 1,4,7,10,13,16,19,22,25,28,31, ...

Ryan working days are 1,5,9,13,17,21,25, ...

Now suppose 1 st of July is Monday, so coming Saturday will be on 6,13,19,25,31, ...

Yes, Kirsten and Ryan will work on same day again i. e on 13, 25 in the month of July.

Yes, they have to do the two jobs on one day also i. e on day which Saturday falls i. e on 13, and 25 of july.