A manufacturing plant has a target for a $30$-day ... | Free GMAT Practice Question | GMAT Panda

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A manufacturing plant has a target for a 30 -day period to produce an average of 220 units per day. During the first half of the period, the plant averaged 200 units per day. What must be the average daily production in the second half of the period to meet the overall target?

Explanation	Calculations	Help
$We name x as the average units per day in the second half of the period.$	$x = average units per day in the second half of the period$
$We calculate the total units required for the 30-day period.$	$Total units = 220 \times 30 = 6600$
$We find the units produced in the first 15 days.$	$First half units = 200 \times 15 = 3000$
$We determine how many units remain to meet the target.$	$Remaining units = 6600 - 3000 = 3600$
$We express the remaining production as x times 15 days.$	$x \times 15 = 3600$
$We solve for x by dividing both sides by 15 and simplifying.$	$x = \frac{3600}{15} = \frac{3000}{15} + \frac{600}{15} = \frac{15 \times 200}{15} + \frac{15 \times 40}{15} = 200 + 40 = 240$	Theory & Tactics Method Card EQUA1-A Click to view full details Theory & Tactics Method Card FDPR2-A Click to view full details

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A manufacturing plant has a target for a 30 -day period to produce an average of 220 units per day. During the first half of the period, the plant averaged 200 units per day. What must be the average daily production in the second half of the period to meet the overall target?

Explanation	Calculations	Help
$We name x as the average units per day in the second half of the period.$	$x = average units per day in the second half of the period$
$We calculate the total units required for the 30-day period.$	$Total units = 220 \times 30 = 6600$
$We find the units produced in the first 15 days.$	$First half units = 200 \times 15 = 3000$
$We determine how many units remain to meet the target.$	$Remaining units = 6600 - 3000 = 3600$
$We express the remaining production as x times 15 days.$	$x \times 15 = 3600$
$We solve for x by dividing both sides by 15 and simplifying.$	$x = \frac{3600}{15} = \frac{3000}{15} + \frac{600}{15} = \frac{15 \times 200}{15} + \frac{15 \times 40}{15} = 200 + 40 = 240$	Theory & Tactics Method Card EQUA1-A Click to view full details Theory & Tactics Method Card FDPR2-A Click to view full details

Scroll horizontally to view all columns

C