Question

Payson is thrice as fast as Amen in completing a task. They both pick up a task together and finish it in 5 days. How many days will Amen take to do it alone?​

Answer 1

Answer:

5 days , payson takes 5 days also amen was alon so he needs 5 days also

Answer 2

Amen will take 20 days to complete the task alone.

Step-by-step explanation:

Let the speed of Amen to finish the task be = x

Since, Payson is thrice as fast as Amen,

So, the speed of Payson = 3x

Now, Together they took 5 days to complete a task.

Total work done by Amen in 5 days = No. of days x speed = $5\times x$ = $5x$

Similarly, total work done by Payson in 5 days =  $5\times 3x$ = $15x$

Therefore, total work completed in 5 days = $5x + 15x = 20 x$.

Thus, if Amen works alone, the time required by him = $\frac{Total work}{Speed}$ = $\frac{20x}{x}$ = 20 days.