Question

efficiency of if NCC of Kanchan is four times to that of heena if they will complete the work in 24 days by working together then in how many days can Hina alone complete the work ​

Answer 1

Heena alone would take 120 days to complete the task

Lets assume that Kanchan alone takes x days to complete the task.

Since, kanchan is four times more efficient than Heena, time taken by Heena would be 4x days.

Amount of work done by Kanchan in one day is 1/x

Amount of work done by Henna in one day is 1/4x

The total amount of work done when they both work together would be

1/x + 1/4x = 5/4x

So, the total dyas taken to complete the work would be 4x/5

But the given number of days is 24

24 = 4x/5

x = 30

Hence, Heena Alone would complete the task in 4x i.e. 4*30 = 120 days