Problema Solution

Ann can process a batch of film in 8 hours. Barbara can do the work in 10 hours. how long will it take them together to process the film?

Answer provided by our tutors

the rate of Ann is 1/8 films per hour


the rate of Barbara is 1/10 films per hour


let x = the hours they need to process the film together that is they have rate of 1/x films per hour


1/8 + 1/10 = 1/x


by solving we find


x = 40/9 hr


x = 4 hr 4*60/9 min


x = 4 hr 26 min 4*60/9 sec


x = 4 hr 26 min 27 sec


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together they will process the film in 4 hr 26 min 27 sec.