Question

24 workers finish a work in 10 days working 5 hours a day. to do the same work 15 workers start

Answer 1

A ratio is an orderly arrangement of numbers a and b, denoted by a / b or a:b , where b does not equal zero. A proportion is an expression that puts two ratios equivalent to each other.

Step-by-step explanation:

We can imply that to complete a given work in the same number of days, with a lesser number of workers, every worker has to work more hours per day.

That means:

Number of workers is inversely proportional to the number of hours a worker has to work.

Taking the Ratio:-

Number of Workers : Hours of work

$\frac{24}{15} : \frac{x}{5}$

x is the unknown value of how many hours per day the 15 workers have to work to complete the work in 10 days time.

After Cross Multiplication:

=> $24 * 5 = 15 * x$

=> $\frac{24 * 5}{15} = x$

=> $x = 8$ hours of work per day.

Hence to complete the same amount of work as 24 workers complete in 10 days by working 5 hours per day.

15 works will have to work 8 hours per day for 10 days.  

Answer 2

Answer:

$8$ hours per day, work

Explanation:

24 workers finish a work in 10 days, working 5 hours a day.

Solution: The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

According to the question

No. of worker $\times$ Days $\times$ hours $=$ No. of worker $\times$ Days $\times$ hours

$N_1 \times D_1 \times H_1=N_2 \times D_2 \times H_2$

$24 \times 10 \times 5=15 \times 10 \times H_2$

$\frac{24 \times 10 \times 5}{15 \times 10}=H_2$

$H_2=8$

Hence, $15$ workers will have to work $8$ hours per day for $10$ days.

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