Question

pooja can water a certain garden in 4 hours while her sister aarthi can water in 3 hours. both of them start watering the garden together, but pooja leaves after 1 hour. how much longer would it take for Aarthi to finish watering the garden?​

Answer 1

Given:

Pooja can water a certain garden in 4 hours while her sister aarthi can water in 3 hours. both of them start watering the garden together, but pooja leaves after 1 hour.

To find:

How much longer would it take for Aarthi to finish watering the garden?

Calculation:

Pooja takes 4 hours to water the garden, so the part of work done in 1 hour = ¼ part.

So, the amout of work left for Aarthi to do:

$= 1 - \dfrac{1}{4}$

$= \dfrac{3}{4} \: part$

Now, Aarthi can do whole work in 3 hours, so ⅓ part of work is done in 1 hour.

So, total required time for which Aarthi works

$= \dfrac{ (\frac{3}{4} )}{ (\frac{1}{3} )} \: hr$

$= \dfrac{9}{4} \: hr$

$= 2.25 \: hr$

But, Aarthi has already worked for 1 hour with Pooja, so additional time required :

$\therefore \: time \: req. = 2.25 - 1 = 1.25 \: hours$

So, Aarthi has to additionally work for 1.25 hours after Pooja leaves.

Answer 2

Answer:75 min

Step-by-step explanation: