Question

Anjali can make a complete test in 16 hrs, but she only works at this rate for 8 hrs. After that, if she works at a rate such that she can make the complete test in 10 hrs, then can you tell us the total time taken by Anjali to make the test?

Answer 1

Answer:

Total work = 10

A and B together can complete the whole work in = 10/(1 + 2) = 10/3 = 3 days 8 hours

Step-by-step explanation:

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Answer 2

Answer:

Anjali can make a complete test in 16 hrs.

she only works at this rate for 8 hrs.

Rest work she can complete in 5 hours as she works at a rate such that she can make the complete test in 10 hrs.

So, total time taken by Anjali to complete the work is 13 hours.

Step-by-step explanation:

• Anjali can complete 1 work in 16 hours.

• Hence, in 1 hour, she can do $\frac{1}{16}$ of the work.

• she only works at this rate for 8 hrs...............................................(i)

• So, in 8 hours , she can do $\frac{1}{16}$  × 8 = $\frac{1}{2}$  of the work.
• After 8 hrs, the remaining work = 1 - $\frac{1}{2}$  = $\frac{1}{2}$

• After 8hrs, she works at a rate such that she can make the complete test in 10 hrs. So, in 1 hr , she can do 1/10 of the work.

Here, 1 complete work she can do in 10 hours

so, Remaining $\frac{1}{2}$  of the work she can do in 10 × $\frac{1}{2}$ = 5 hours..................(ii)

From (i) and (ii), we can say that,

to Complete the work, the time Anjali will take = 8 hours + 5 hours = 13 hours.

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