Question

Rajesh Completed 1/3 part of his work in 1
hour How much work will be complete
in 3 ¹⁄₂ hours .

Answer 1

EXPLANATION.

Rajesh completed 1/3 part of his work in 1 hours.

How much work will be completed in 3(1/2) hours.

Using unitary methods in this question.

In 1 hours Rajesh completed 1/3 part of his work.

Work tht he completed in 3(1/2) hours.

⇒ 3(1/2) x (1/3).

⇒ (7/2) x (1/3).

⇒ (7/6).

∴ 7/6 work will be completed in 3(1/2) hours.

                                                                                                                   

MORE INFORMATION.

Work done = Time taken x Rate of the work.

Rate of work = 1/(Time taken).

Time taken = 1/(Rate of work).

Answer 2

Rajesh can complete  $\frac{7}{6}$ or $1\frac{1}{6}$ part of the work in $3\frac{1}{2}$ hours as calculated using the unitary method.

If Rajesh completed $\frac{1}{3}$ of the work in 1 hour, then he can complete $\frac{1}{3}$ of the work in each hour. Therefore, in $3\frac{1}{2}$ hours, Rajesh can complete:

 $3\frac{1}{2}$  hours = $\frac{7}{2}$ hours

Now we will use the properties of the unitary method using the unit rate.

If a third of the work is done in one hour then to calculate the amount of work done in 3 and a half hours then by the property of the unitary method we have to multiply the unit rate by the total allotted time.

So, in $\frac{7}{2}$ hours, Rajesh can complete:

$\frac{7}{2}\times \frac{1}{3}=\frac{7}{6}$  part of the work.

Therefore, Rajesh can complete  $\frac{7}{6}$ or $1\frac{1}{6}$  of the work in  $3\frac{1}{2}$ hours.

Learn more about time and work at:

https://brainly.in/question/54097750

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