1.

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 ?

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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