2-time and work

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 20 days. For how many days is the fund sufficient to pay the wages when both are working together?




Answer:
Let the funds available for wages be W

So, A = W/21 $/day.

and B = W/20 $/day.

If they work together for Y days, then

YW/21 + YW/20 = W

or YW ((1/21) + (1/20)) = W

or Y ((1/21) + (1/20)) = 1

or Y (20 + 21)/ (20x21) =1

or Y = 21x20/(20+21)

or Y = 10.24 days


those who read this also read