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painter 1 can paint the room in 12 hours while painteer 2 can paint the same room in 10 hours.how long will it take to paint the room together? using linear equation

Sagot :

painter 1 can paint a room in 12 hrs
so in 1 hrs he can paint 1/12 part of a room
painter 2 can paint a room in 10 hrs
so in 1 hrs he can paint 1/10 part of a room
together in1 hrs they can paint       (1/12 + 1/10)     part of a
room    =        ( 5 + 6)/60  =  11/60        >     LCM = 60
thus  no. of hrs to complete the room  =    60/11  ~  5.45hrs