If a pipe fills a cistern in 10 hours, then what part of the cistern will the pipe fill in 6 hour working for every alternative hour starting from 1st hour?

Step 1: Understand the problem The pipe fills the cistern in 10 hours. We need to find out how much of the cistern the pipe will fill in 6 hours if it works every alternate hour starting from the first hour.

Step 2: Determine the rate of work Since the pipe fills the cistern in 10 hours, it fills 1/10 of the cistern in 1 hour.

Step 3: Calculate the total working hours In 6 hours, working every alternate hour starting from the first hour, the pipe will work for 4 hours (1st, 3rd, 5th, and 6th hours).

Step 4: Calculate the part of the cistern filled In 4 hours, at a rate of 1/10 per hour, the pipe will fill 4 * 1/10 = 4/10 = 2/5 of the cistern.

So, the pipe will fill 2/5 of the cistern in 6 hours working every alternate hour starting from the first hour.