Question

please tell me the answer of this question please​

Answer 1

Answer:

Time required to finish the remaining work is $2\frac{1}{2}$ days.

Step-by-step explanation:

For P:

Amount of work finished in:

$4 days = \frac{2}{5} \\ \\ 1 day = \frac{2}{5 * 4} = \frac{1}{10}$

For Q:

Amount of work finished in:

$9 days = \frac{3}{5} \\ \\ 1 day = \frac{3}{5 * 9} = \frac{1}{15}$

Now, amount of work done by both P and Q in:

$1 day = \frac{1}{10} + \frac{1}{15} = \frac{5}{30} = \frac{1}{6} \\ \\ 5 days = 5 * \frac{1}{6} = \frac{5}{6}$

Amount of work left when P left = $1 - \frac{5}{6} = \frac{1}{6}$

Now, time taken by Q to complete:

$\frac{3}{5}$ amount of work = 9 days

1 amount of work = $9 * \frac{5}{3} = 15$ days

$\frac{1}{6}$ amount of work = $15 * \frac{1}{6} = \frac{5}{2} = 2\frac{1}{2}$ days or 2.5 days