Question

56 labourers can harvest a field in 8 days.
How many more labourers are required to
harvest the field in 7 days?​

Answer 1

Step-by-step explanation:

quickly browsed some of the answers and didn’t find the simplest solution so I shall give it. The simplest solution would be to treat this as a problem of similar triangles. So we set up the problem as follows:

N/3o days= 15 workers/8 workers

Then we just solve for N:

N = 30 days x 15 workers/8 workers = 56.25 days????

I believe this to be the correct course of action but my calculator keeps giving me 56.25 days which cannot be right because almost doubling the number of workers should be theoretically be capable of completing the task in about half the time or about 7 or 8 days. This is a little embarrassing because I am an engineer schooled in higher calculus so I should know how to set this up. What am I doing wrong?

Answer 2

In the above question, it is given that,

The given data is 56 laborer's can harvest a field in 8 days

Here we have to find how many more laborer's are required to

harvest the field in 7 days,

The total work to be carried out is same,

So, Let the labor required be a,

$56\times 8= 7 \times a$

$448=7a\\7a=448\\a=\frac{448}{7}\\a=64.$

Hence 64 laborer's are required to

harvest the field in 7 days