somesh, Ramesh,and Rajesh can complete a work separately in 45,60 and 75 days . they started the work together but Rajesh left after 5 days and somesh left 2 days before the completion of work . in how many days will the work be complete ?
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Answer:
27 days
Step-by-step explanation:
5*(1/45+1/60+1/75)=235/900 =47/180 work done in 5 days
133/180 amount of work left
somesh and ramesh in one day can do (1/45+1/60) = 7/180th of the work, so the remaining can be finished in 19 days but somesh leaves two days prior to that. This implies 119/180th of the work is done. so total number of days worked is 17+5. work left os 14/180 will be finished by rajesh in 14/180/3/180 = 5 approx days
Therefore 17+5+5=27days
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