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P Can Lay Railway Track Between Two Stations In 16 Days. Q Can Do The Same Job In 12 Days. With The Help Of R, They Completes The Job In 4 Days. How Much Days Does It Take For R Alone To Complete The Work ? |
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Answer» <P>AMOUNT of WORK P can do in 1 day = 1/16 Amount of work Q can do in 1 day = 1/12 Amount of work P, Q and R can TOGETHER do in 1 day = 1/4 Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => HENCE R can do the job on 48/5 days = 9 (3/5) days Amount of work P can do in 1 day = 1/16 Amount of work Q can do in 1 day = 1/12 Amount of work P, Q and R can together do in 1 day = 1/4 Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => Hence R can do the job on 48/5 days = 9 (3/5) days |
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