Problema Solution

sue can complete an order in 5 hours. Felipe can complete the same order in 6 hours. IF they work together how long would it take them to complete the order?

Answer provided by our tutors

let


x = the hours they need to complete the order together


the together rate: they will complete 1/x order in 1 hour


Sue's rate is: 1/5 order in 1 hour


Felipe's rate is: 1/6 order in 1 hour


1/5 + 1/6 = 1/x


by solving we find:


x = 30/11 hr


x = 3 8/11 hr


x = 3 hr 8*60/11 min


x = 3 hr 44 min approximately


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together they will complete the order in 3 hours and 44 minutes.