Advanced Placement (AP), 05.02.2021 14:00 Amholloway13

120 men working 9 hours a day can construct a road in 40 days. how long would it take to construct the same road if 150 men work 6 hours a day on it?

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Given :-120 men working 9 hours a day can construct a road in 40 days.To Find :-long would it take to construct the same road if 150 men work 6 hours a day on it?Solution :-Here,Let the time be y120/150 = 9/6 = 40/y120 × 9/150 × 6 = 40/y1080/150 × 6 = 40/y1080/900 = 40/yBy, Cross Multiplication40 × 900 = 1080 × y36,000 = 1080 × y36,000 = 1080y36,000/1080 = y $\bold {y = 33.33 \: days}$ Therefore,33.33 days for 150 men to construct the road working for 6 hours each day.

Answer from: laurachealsy923

This is a question from Ratio and Proportion based concept.

Given that,

120 men working for 9 hours a day, construct a road in 40 days. We are required to calculate the number of days to construct the road if 150 people work for 6 hours.

Let's assume the number of days taken for constructing is 'x'.

So normally we take 2 ratios and obtain the unknown value by cross multiplication.

Applying the same approach we get:

$\implies \frac{ 120\:men}{150\:men}=\frac{9\:hours}{6\:hours}=\frac{40\:days}{x\:days}$

Since the first two fractions are inversely related, we multiply the numerators and denominators respectively.

Hence we get:

$\begin{gathered}\implies \dfrac{ 120\: men \times 9\: hours}{150\: men \times 6\: hours} = \dfrac{ 40\: days}{x\: days}\\\\\\\implies \dfrac{1080}{900} = \dfrac{40}{x}\\\\\\\sf{Cross~ multiplying ~these~ 2 ~fractions~ we~ get:}\\\\\\\implies 1080 \times x = 40 \times 900 \\\\\\\implies x = \dfrac{ 40 \times 900}{1080}\\\\\\\implies x = \dfrac{36000}{1080}\\\\\\\implies x = \boxed{ 33.33 \:\: days}\end{gathered}$

Hence it takes 33.33 days for 150 men to construct the road working for 6 hours each day.

Answer from: Quest

from the word list given, the most suitable words that relate to the reason information were written would be:

objectivity: lack of bias, judgment, or prejudice

accuracy: free of mistakes, to be correct

authority: the ability to tell people what to do or believe in

content: to be satisfied

it can be said that the author made the article to present objectivity, to provide accurate information, to be the authority in the subject that he or she writes, and to be satisfied of the information quality given out.

Answer from: Quest

Lot of points 7.34 your welcome

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