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3 years ago

If it takes four men three hours to dig two holes, how long does it take one man to dig three holes?

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

it will take one man 18 hours to dig the three holes

Step-by-step explanation:

To solve this problem, we can set up a simple relation as follows:

4 men dig two holes in 3hours

4 men will dig 1 hole in x hours.

2 holes => 3 hours

1 hole => x hours

x = (1 X 3)/2 = 1.5 hours

Therefore, 4 men will dig 1 hole in 1.5 hours.

From this, we can find how long it will take 1 man to dig 1 hole

if 4men dig a hole in 1.5 hours

1 man will dig 1 hole in x hours

4 X 1.5 = 6 hours

1 man will dig 1 hole in 6 hours

finally, if 1 man digs a hole in 6 hours, it will take the man 6 hours X 3 to dig 3 holes = 18hours

it will take one man 18 hours to dig the three holes

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Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

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And the time of investment is T years.

Then, the amount of simple interest is calculated as:

$I = \dfrac{P \times R \times T}{100}$

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Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

$I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800$

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

brainly.com/question/5319581

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3 years ago

a car purchased for $34,000 is expected to lose value, or depreciate, at a rate of 6% per year.using x for years and y for the v

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Answer:

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Step-by-step explanation:

This problem is solved using a compound interest function.

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