Problema Solution

It takes a groundskeeper 30 minutes to prepare a Little League baseball field for a game. It takes his assistant 40 minutes to prepare the same field. How long will it take if they work together to prepare the field?

Answer provided by our tutors

let


t = the time need to prepare the field togeteher


the rate of the groundskeeper is 1/30 fields per minute


the rate of his assistant is 1/40 fields per minute


t(1/30 + 1/40) = 1


by solving we find


t = 17.14 min


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if they work together they can prepare the field in 17.14 minutes.