Time and Work Wages Examples

In this class, We discuss Time and Work Wages Examples.

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Example 1:

A sum of money is sufficient to pay A’s wages for 21 days and B’s for 28 days.

The same money is sufficient to pay both wages for how many days?

Solution:

The wage distribution is also similar to work distribution.

A can finish work in 21 days. So A’s one-day work = 1/21.

The amount given to A for 21 days is x.

A’s one-day wage = x/21.

Similarly, B’s one-day wage = x/28.

(A + B).’s one day wage = (x/21 + x/28) = x/12

We can give the amount for 12 days.

Why 12 days? Like work formulae (A + B)’s one day work = 1/12, they can finish in 12 days.

Example 2:

A can do a piece of work in 10 days and B in 15 days.

They work for five days, and the rest of the work is finished by C in 2 days.

If they get 1500 for the whole work, what are the daily wages of B and C?

Solution:

Amount shared based on the work done.

A’s one day work = 1/10.

B’s one-day work = 1/15

A’s total work = 5 * 1/10 = 1/2

B’s total work = 5 * 1/15 = 1/3

The remaining work = 1 – (1/2 + 1/3) = 1/6

The work done by C = 1/6.

A’s share: B’s share: C’s share = 1/2: 1/3: 1/6

= 3: 2: 1

A’s share amount = (3/6) * 1500 = 750

B’s share amount = (2/6) * 1500 = 500

C’s share amount = (1/6) * 1500 = 250

B’s daily wage = 500/5 = 100

C’s daily wage = 250/2 = 125.