Question

If 4/7 of a piece of work is completed in 7/4 days, in how many days can rest of the work be completed ?
(a) 7/3 days
(b)3/7 days
(c) 21/16 days
(d) 16/21 days
​

Answer 1

Answer:

the rest of the work will be finished in .,..

=

$\frac{ \frac{7}{4} }{ \frac{4}{7} } \times \frac{3}{7} \\ = \frac{7}{4} \times \frac{7}{4} \times \frac{3}{7} = \frac{21}{16}$

answer is 21/16 days

Answer 2

The correct option is (c) 21/16 days.

Step-by-step explanation:

Consider the provided information.

It is given that 4/7 of a piece of work is completed in 7/4 days.

This can be written as:

$\frac{4}{7}$ of work = $\frac{7}{4}$ days

Time required to complete the work is:

Work = $\frac{7}{4}\times\frac{7}{4}$ days

Work = $\frac{49}{16}$ days

But 4/7 of a piece of work was completed. That means remaining work is 3/7.

Multiply both the sides by 3/7.

$\frac{3}{7}$ of work = $\frac{49}{16}\times \frac{3}{7}$ days

$\frac{3}{7}$ of work = $\frac{7\times3}{16}$ days

$\frac{3}{7}$ of work = $\frac{21}{16}$ days

Hence, rest of the work will completed in 21/6 days.

Thus, the correct option is (c) 21/16 days.

#Learn more

A alone can complete a piece of work in 6 days and B alone can complete the same piece of work in 12 days. In how many days can A and B together complete the same piece of work

https://brainly.in/question/3656784