C is 20% more efficient than A. A and B together can finish a piece of work in 16 days. B and C together can do it in 15 days. In how many days A alone can finish the same piece of work ?
C is 20% more efficient than A. A and B together can finish a piece of work in 16 days. B and C together can do it in 15 days. In how many days A alone can finish the same piece of work ? 1). 42 2). 48 3). 54 4). 36
Let rate of doing work be 1/A , 1/B and 1/C. ((1/A) + (1/B)) = 1/16 ----------------1 ((1/B) + (1/C)) = 1/15 ----------------2 C is 20% more efficient than A. 1/C = 12/10A Replacing 1/C in 2. ((1/B) + (12/10A)) = 1/15 ------------3 From 1 1/B = (1/16) - (1/A) Replacing (1/B) in 3 (1/16) - (1/A) + (12/10A) = 1/15 2/10A = (1/15) - (1/16) 2/10A = 1/240 1/A = 1/48 A alone takes 48 days to complete the work.
Let rate of doing work be 1/A , 1/B and 1/C. ((1/A) + (1/B)) = 1/16 ----------------1 ((1/B) + (1/C)) = 1/15 ----------------2 C is 20% more efficient than A. 1/C = 12/10A Replacing 1/C in 2. ((1/B) + (12/10A)) = 1/15 ------------3 From 1 1/B = (1/16) - (1/A) Replacing (1/B) in 3 (1/16) - (1/A) + (12/10A) = 1/15 2/10A = (1/15) - (1/16) 2/10A = 1/240 1/A = 1/48 A alone takes 48 days to complete the work.