Question

A and B together completes a piece of work in 35 days while A alone will be able to complete the same work in 60 days. how many days will be alone take to complete the work?
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Answer 1

Given,

• Days required to complete the work together (A+B) = 35 days

• Work done in one day =  $\sf{\dfrac{1}{35}}$

• Days required for A alone = 60 days

• Work done in one day by A alone =  $\sf{\dfrac{1}{60}}$

Gives,

$\sf{\implies B = \dfrac{1}{35} - \dfrac{1}{60}}$

Cross multiplying:

$\sf{\implies B = \dfrac{60-35}{35\times 60}}$

$\sf{\implies B = \dfrac{25}{2100}}$

$\sf{\implies B = \dfrac{1}{84}}$

⇒ Days required for B alone = 60 days

$\boxed{\bold{\sf{\therefore Number \ of \ days \ B \ alone \ takes \ to \ complete \ the \ work = 84 \ Days}}}$