A sum of money is sufficient to pay A's wages for 20 days and B's wages for 30 days.

A sum of money is sufficient to pay A's wages for 20 days and B's wages for 30 days. The same money is sufficient to pay the wages of both for?

Answer/Solution

12days

Steps/Work

Let the total money be $x
A's 1day work = $ x/20
B's 1day work = $ x/30
A+B 1day work = $ x/12
Money is sufficient to pay the wages of both for 12days
Answer is A

General Calculator / Auto Solver

A sum of money is sufficient to pay a's wages for days and b's wages for days. The same money is sufficient to pay the wages of both for?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate 1 / (1 / n₀ + 1 / n₁).

n₀ =	20
n₁ =	30

1 / (1 / n₀ + 1 / n₁)
Evaluate 1 / n₀ = 0.05
1 / (0.05 + 1 / n₁)
Evaluate 1 / n₁ = 0.033333333333333
1 / (0.05 + 0.033333333333333)
Evaluate 0.05 + 0.033333333333333 = 0.083333333333333
1 / 0.083333333333333
Evaluate 1 / 0.083333333333333 = 12
12
The answer to the problem and the result of 1 / (1 / n₀ + 1 / n₁) is 12

Quiz

Answer/Solution

Steps/Work

General Calculator / Auto Solver

Calculated Answer

Step by Step Solution