A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?
1). A
2). B
3). C
4). A or B

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Guest · Answer 1 · 2019-04-19 22:05:57

Let the total amount of work be a

⇒ Work done by A and B together = 0.6a

⇒ Work done by C alone = a – 0.6a = 0.4a

⇒ Work done by B and C together = 0.7a

⇒ Work done by B alone = 0.7a – 0.4a = 0.3a

⇒ Work done by A alone = a – 0.7a = 0.3a

∴ the most efficient is C

Guest · Answer 2 · 2019-05-18 15:05:06

Let the total amount of work be a

⇒ Work done by A and B together = 0.6a

⇒ Work done by C alone = a – 0.6a = 0.4a

⇒ Work done by B and C together = 0.7a

⇒ Work done by B alone = 0.7a – 0.4a = 0.3a

⇒ Work done by A alone = a – 0.7a = 0.3a

∴ the most efficient is C

A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

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