Question

Azar can finish a job in 12 days and Bhim can finish the job in 15 days. If they both work together, in how much time will the job get completed?​

Answer 1

Answer:

6.67 days

Step-by-step explanation:

Azar completed the work in 12 days so -

12 days = 1 work

=> 1 day = 1/12 work

Similarly, Bhim completes the work in 15 days -

15 days = 1 work

=> 1 day = 1/15 work

Work they both will complete together in 1 day -

$\frac{1}{15} + \frac{1}{12} = \frac{4 + 5}{60} \\ \\ = \frac{9}{60} = \frac{3}{20} work$

Let they take x days in completing the work together -

1 day = 3/20 work

x days = 3/20 × x

Now, 3x/20 work = 1 work

[ As work is completed after x days ]

=> 3x = 20

=> x = 20/3 = 6.67 days

Hence they both can complete the work in 6.67 days together