Question

A is twice as good as a workman as B and together they finish a piece of work in 14 days. In how many days can A alone finish the work?​

Answer 1

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Let the work done by B be x.

∴Work done by A =2x

Work done by A and B together in 14 days =1

1

Work done by A and B together in 1 day =____

14

⇒ Work done by A in 1 day + Work done by B in 1 day = 1

___

14

1

x+2x=___

14

1

⇒3x= ___

14

1

⇒x= ___

42

1

Work done by B in 1 day = ___

42

1

∴ Work done by A in 1 day =___

21

Hence, to finish the work, A require 21 days.

Hence, A alone can finish the work in 21 days.