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Algebra 15 Online
OpenStudy (anonymous):

Crane A can unload a ship in 10 hours and crane B can unload it in 14 h. How long will it take the two cranes to unload the ship working together? What is the correct equation to solve this problem? A. \frac{ x }{10}+\frac{ 14 }{ 14 }=1 B. \frac{ x }{10}+\frac{ x }{ 14 }=1 C. \frac{ x }{10}+\frac{ x }{ 14 }=70 D. \frac{ 10 }{x}+\frac{ 14}{ x}=1

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

what did you get

OpenStudy (anonymous):

idk what to do

jimthompson5910 (jim_thompson5910):

Crane A can unload a ship in 10 hours so in one hour it can do 1/10 of the job

jimthompson5910 (jim_thompson5910):

crane B can unload it in 14 h so in one hour it can do 1/14 of the job

jimthompson5910 (jim_thompson5910):

in x hours, crane A can do x/10 of the job (multiply 1/10 by x) in x hours, crane B can do x/14 of the job (multiply 1/14 by x)

jimthompson5910 (jim_thompson5910):

in x hours, the two cranes combined working together can do the job in x/10 + x/14 hours

jimthompson5910 (jim_thompson5910):

this is assuming they don't get in the way of each other or slow each other down

jimthompson5910 (jim_thompson5910):

oops i meant to say in x hours, the two cranes combined working together can do x/10 + x/14 of the job

jimthompson5910 (jim_thompson5910):

since you want them to do a full job, this means that x/10 + x/14 = 1

jimthompson5910 (jim_thompson5910):

1 is usually used to denote 1 full job (for workrate problems)

OpenStudy (anonymous):

so the answers B?

jimthompson5910 (jim_thompson5910):

yeah

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