Problema Solution

one tractor can plow a field in 8 hours, and another in 10 hours . In how many hours can both tractors plow the field together ?

Answer provided by our tutors

let


x = the number of hours that the both tractors need to plow the field together


1/x filed per hour is the together rate of the both tractors


1/8 fields per hour is the rate of the first tractor


1/10 field per hour is the rate of the second tractor


1/8 + 1/10 = 1/x


by solving we find:


x = 40/9 hr


x = 4.44 hours


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both tractors can plow the field together in 4.44 hours.