Question

The amount of work done by a man on nth day after starting a piece of work is n times the amount of work that can be done on the first day. If 8 men start the work, it can be completed in 10 days. How many men should work if the work has to be completed in 4 days?

Answer 1

Step-by-step explanation:

Let, the one man efficiency is f.

and number of men is m for complete the work in 4 days.

Total work for 8 men for 10 days = 8 * 10 * x

Total work for m men for 4 days = m * 4 * x

Total work is same

$8 \times 10 \times x = m \times 4 \times x \\ or \: m = 20$

20 men need to complete the work.

Answer 2

44

Let each of the 8 men does x units of work on the first day.

Total work done = 8(x + 2x + 3x + 4x + 5x + 6x + 7x + 8x + 9x

+ 10x) = 440x

To do the same 440x units work in 4 days, let n men be required.

So, n(x + 2x + 3x + 4x) = 440x

=> n= 44