Problema Solution

two cranes can unloud a ship together in 12 hours. The faster crane takes 10 hours less than the slower crane, if each were to unload the same ship alone. How long does it take for each crane to unload this ship?

Answer provided by our tutors

let


x = the hours the faster crane needs to unload the sip alone, x>0

x + 10 = the hours the slower crane needs to unload the ship alone


1/x + 1/(x + 10) = 1/12


by solving we find


x = 20 hr


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20 + 10 = 30 hr


the slower crane will unload the ship in 30 hours.

the faster crane will unload the ship in 20 hours.