Question

1. Meena, Reena and Anjum can complete a 19.
piece of embroidery by themselves in 8 hours,
10 hours and 12 hours respectively. They all
start the work together but after 3 hours
Meena and Anjum leave. How long will Reena
take to complete the remaining work?​

Answer 1

Answer:

7 hrs 2345+3+1=2-126*56969--*

Answer 2

Answer:

The number of hours required by Reena alone to do remaining work is 3 hours and 45 minutes .

Step-by-step explanation:

Given as :

Meena , Reena and Anjum can complete piece of work in 8 hours

So, The work done by Meen = $\dfrac{x}{8}$

The work done by Reena = $\dfrac{x}{10}$

The work done by Anjum = $\dfrac{x}{12}$

Now, Meena and Anjum work for 3 hours

∴  x = 3

i,e The work done by Meena and Anjum for first 3 hours = $\dfrac{x}{8}$ + $\dfrac{x}{12}$

Or,  The work done by Meena and Anjum for first 3 hours = $\dfrac{ 3x + 2x}{24}$

or,  The work done by Meena and Anjum for first 3 hours = $\dfrac{5x}{24}$

or,  The work done by Meena and Anjum for first 3 hours = $\frac{5\times 3}{24}$

Or, The work done by Meena and Anjum for first 3 hours = $\dfrac{5}{8}$

Now, The left work is done by Reena alone

So, The left work = 1 - $\dfrac{5}{8}$

Or, The left work is done by Reena alone = $\dfrac{8-5}{8}$

Or, The left work is done by Reena alone = $\dfrac{3}{8}$

Again

So, The number of hours required by Reena alone to do $\dfrac{3}{8}$the work = $\dfrac{x}{10}$ = $\dfrac{3}{8}$

Or, $\dfrac{x}{10}$ = $\dfrac{3}{8}$

Or, x = $\frac{3\times 10}{8}$

∴  x = 3.75 hours

So,  The number of hours required by Reena alone to do remaining work = 3 hours and 45 minutes

Hence, The number of hours required by Reena alone to do remaining work is 3 hours and 45 minutes . Answer