Question

A alone and b alone can do a work in respectively 18 and 8 days more than both working together. Find the number of days required if both work together

Answer 1

Answer:

12

Step-by-step explanation:

Time require by A alone =n+18 days

Time require by B alone =n+8 days

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In such kind of problems, we apply the formula :

$n^{2}=A * B$

where ‘a’ and ‘b’ are the extra time taken if both work individually than if both work together.

Therefore,$n^{2}= 18 * 8$

=> n = $\sqrt{18 * 8}$ = $\sqrt{144}$ = 12