Question

carpenter A takes 15 minutes to fit the parts of a chair while carpenter B takes 3 minutes more than A to do the same work. working together, how long will it take for them to fit the parts for 22 chair ​

Answer 1

Answer:

Carpenter A takes 15 minutes to fit a chair

So, in 1 minute, the fraction of work done by A =

Carpenter B takes 3 minutes more than A for the same work to be done i.e., B will take 15 + 3 = 18 minutes

So, in 1 minute, the fraction of work done by B =

Therefore,

The fraction of work done by both A & B together in 1 minute will be,

=

=

=

So, both A and B when working together will fit 1 chair in minutes

∴ To fit the parts of 22 chairs, A and B will take = = 90 * 2 = 180 minutes

Thus, it will take 180 minutes for them to fit the parts for 22 chairs.

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