A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, in how many days they can complete the work?

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22.5 days
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Math and Science

If A takes x days then B takes 3x days given 3x-x=60 or x=30 So A takes x=30 & B takes 3x=90 days to complete the work. When A & B work together then days is (A days*B days)/(A days +B days) =(30*90)/(30+90)=22.5days
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If A can finish work in x days, B takes x+60 Days. So their rate of work is 1/x and 1/(x+60) respectively. Further, 1/x = 3 (1/x+60). So, x = 30. If they work together, their rate of work is 1/30 + 1/90 = 1/22.5. So they take 22.5 days to finish the work.
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Efficiency ratio of A to B = 3:1 Ratio of Time required to complete job for A to B= 1:3 A's 1 day's work = 1/30 B's 1 day's work = 1/90 (A + B)'s 1 day's work = 1/30 + 1/90 = 4/90 = 2/45 A and B together can do the work in 45/2 = 22 1/2 days.
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Engineering Professional & Trainer with more than 20 Years of Teaching Experience

if A can complete the work in 1 day,B can able to complete in 3 days. Therefore the ratio of A to B is 1:3 The difference is 3 - 1 = 2 days if difference of time is 60 days, B takes (3/2 x 60)= 90 days. A work for 1/30 days B work for 1/90 days Therefore(1/30+1/90)=2/45 i.e 22 1/2 days
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Aptitude Trainer

Efficiency of A and B is 3:1 So no.of days they will take to complete a work is in the ratio of 1:3 as we know that efficiency is indirectly proportional to no.of days. If we assume No.of days taken by a is 1X days then for B it is 3X days. Difference b/w A & B is i.e. 3X-X=60 2X=60 X=30 The...
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Efficiency of A and B is 3:1 So no.of days they will take to complete a work is in the ratio of 1:3 as we know that efficiency is indirectly proportional to no.of days. If we assume No.of days taken by a is 1X days then for B it is 3X days. Difference b/w A & B is i.e. 3X-X=60 2X=60 X=30 The answer is A will take 30 Days and B will take 90 days to finish the work. read less
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22.5 days
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Advanced maths

22-1/2 DAYS
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Maths antd QT Teacher

sorry, 22.5 days
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Quant techniques

a:b=3:1,2parts=60 days, 4parts=30 days.
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