Question

hola,

please solve (10 no.question)

chapter: Time and work
class:8

Answer 1

Let the Work to be Done be : W

Given : A can do $\bf{(\frac{2}{3})rd}$ of Work in 16 Days

$\bf{\implies A\;can\;do\;(\frac{2}{3} \times \frac{3}{2})\;of\;Work\;in\;(16 \times \frac{3}{2})\;Days}$

⇒ A can do the Work in 24 Days

⇒ In One Day, A can do a Work of $\bf{: (\frac{W}{24})}$

Given : B can do $\bf{(\frac{1}{4})th}$ of Work in 3 Days

$\bf{\implies B\;can\;do\;(\frac{1}{4} \times 4)\;of\;Work\;in\;(3 \times 4)\;Days}$

⇒ B can do the Work in 12 Days

⇒ In One Day, B can do a Work of $\bf{: (\frac{W}{12})}$

⇒ In One Day, A and B can do a Work of $\bf{: (\frac{W}{24} + \frac{W}{12})}$

⇒ In One Day, A and B can do a Work of $\bf{: (\frac{2W + W}{24})}$

⇒ In One Day, A and B can do a Work of $\bf{: (\frac{3W}{24})}$

⇒ In One Day, A and B can do a Work of $\bf{: (\frac{W}{8})}$

⇒ In 8 Days, A and B can do a Work of $\bf{: (\frac{W}{8} \times 8)}$

⇒ In 8 Days, A and B can do a Work of W

⇒ A and B can finish the work, by working together in 8 Days