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Anjali can complete a job in 10 days. Banu can do it in 5 days. In how many days can the job be done, if they work together?
Question

Anjali can complete a job in 10 days. Banu can do it in 5 days. In how many days can the job be done, if they work together?

A.

3.5 days

B.

7.5 days

C.

6 days

D.

3 days 8 hours

Correct option is D

Given:

Anjali can complete a job in 10 days.
Banu can do it in 5 days.
Formula Used:

Work = Time ×\times ​ Efficiency

Solution:
Total work = LCM of (10, 5) = 10 unit
Efficiency of Anjali = 10/10 = 1 unit/day
Efficiency of Banu = 10/5 = 2 unit/day
The work will complete when they done work together

=10(1+2)=313 days=3 days+24×13 hours=3 days 8 hours= \frac{10}{(1+2)} = 3 \frac{1}{3} \text{ days} \\= 3 \text{ days} + 24 \times \frac{1}{3} \text{ hours} \\= 3 \text{ days } 8 \text{ hours}​​

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