Kaveri takes twice as much time as Kanchana
and thrice as much as Kalpana to complete a
piece of work. If they all work together, the
work is completed in one day. Calculate the
time taken by Kalpana alone to finish the task?
Answers
Answer:
2 Days
Step-by-step explanation:
Let the time taken by Kaveri to complete the work alone = X days.
∴ time taken by Kanchan to complete the work alone = X/2
& Time taken by Kalpana to complete the work alone = X/3
In one day,
Kaveri will complete the amount of work = 1/X
For kanchan = 1/(X/2) = 2/X
and for kalpana = 1/ (X/3) = 3/X
∴ Total work completed in one day by all three working togater can be written as,
Work completed in one day = 1/X + 2/X + 3/X
As per given condition, when all three are working , work gets completed in one day.
∴ we can write,
1 = 1/X + 2/X + 3/X
∴1 = (1 + 2 + 3) / X
∴ X = 6
Tiem taken by Kaveri = 6 days.
Time taken by Kalpana is 1/3rd that of Kaveri.
∴ Time taken by Kalpana alone = 6/3 = 2 Days
∴ Time taken by Kalpana alone to finish taks = 2 days
Answer:
Step-by-step explanation:
Let the time taken by Kaveri to complete the work alone = X days.
∴ time taken by Kanchan to complete the work alone = X/2
& Time taken by Kalpana to complete the work alone = X/3
In one day,
Kaveri will complete the amount of work = 1/X
For kanchan = 1/(X/2) = 2/X
and for kalpana = 1/ (X/3) = 3/X
∴ Total work completed in one day by all three working togater can be written as,
Work completed in one day = 1/X + 2/X + 3/X
As per given condition, when all three are working , work gets completed in one day.
∴ we can write,
1 = 1/X + 2/X + 3/X
∴1 = (1 + 2 + 3) / X
∴ X = 6
Tiem taken by Kaveri = 6 days.
Time taken by Kalpana is 1/3rd that of Kaveri.
∴ Time taken by Kalpana alone = 6/3 = 2 Days
∴ Time taken by Kalpana alone to finish taks = 2 days