Question

I can finish a work in 15 days at 8 hours a day. You can finish it in 20/3 days at 9 hours a day.

Find in how many days we can finish it together, if we work 10 hours a day.
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Answer 1

Answer:

4 days

Step-by-step explanation:

we know,

work=men*hours*days

I can finish a work in 15 days at 8 hours a day

1 work=15 days*8 hrs

if we work 10 hours a day.

​let x be days

1 work=x days*10 hours

if work is same then

15 days*8 hours=x days*10 hours

x=12 days

You can finish it in 20/3 days at 9 hours a day.

1 work=20/3 days* 9 hours

if we work 10 hours a day.

let x be days

1 work=x days* 10 hours

if the work is same then

20/3*9=x*10

x=6 days

Find in how many days we can finish it together,

1/12+1/6

=1+2/12

=3/12

=1/4 days