Time and Work Formulae

In this class, We discuss Time and Work Formulae.

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The reader should have prior knowledge of time and distance formulae. Click Here.

Formulae:

1) If a can do a piece of work in n days, then A’s one day work is 1/n.

The below diagram shows the graphical intuition of the formulae.

The rectangle box is a piece of work.

Assume, The work is the construction of the house.

We can finish the construction of the house in 5 days.

A’s one day work = divide the total work into five parts, as the red lines show.

We can do 1/5th part of the work in one day.

A’s one-day work = 1/5.

2) If A’s one-day work is 1/n, then A can finish the work in n days.

The second formulae are exactly the opposite of the first one.

3) If A is twice as good a workman as B, then.

The ratio of work done by A and B = 2: 1

The ratio of time taken by A and B = 1: 2

Point to understand: A is twice efficient as B. Ie, A can do work twice faster than B.

Time and work efficiency are inversely proportional.

If a person works fast, he can complete the work fast.