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20 Jul 2026, 19:00
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C
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Difficulty:
45%
(medium)
Question Stats:
68% (02:36) correct
32%
(03:15)
wrong
based on 164
sessions
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A certain factory normally produces 500 units per hour for a 7.5 hour workday. In a month with 22 workdays, no units are produced in the first 7 days because of a job action. By how many units must production increase on each of the remaining workdays of the month in order to meet normal production levels for the month?
A. 500
B. 688
C. 1750
D. 3750
E. 5500
A. 500
B. 688
C. 1750
D. 3750
E. 5500
20 Jul 2026, 21:36
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Using the work-rate approach:
Because of the job action, only 15 days remain for production.
Total monthly production target:
= 22 days × normal daily production
Actual production after increase:
= 15 days × (normal daily production + x)
Equating both:
15(3750 + x) = 22(3750)
15x = (22 − 15) × 3750
15x = 7 × 3750
15x = 7 × 500 × 7.5
x = (7 × 500 × 7.5)/15
x = 7 × 500 × 0.5
x = 1750
Answer: C. 1,750 units per day.
- Normal production rate = 500 units/hour
- Workday = 7.5 hours
- Total workdays = 22
Because of the job action, only 15 days remain for production.
Total monthly production target:
= 22 days × normal daily production
Actual production after increase:
= 15 days × (normal daily production + x)
Equating both:
15(3750 + x) = 22(3750)
15x = (22 − 15) × 3750
15x = 7 × 3750
15x = 7 × 500 × 7.5
x = (7 × 500 × 7.5)/15
x = 7 × 500 × 0.5
x = 1750
Answer: C. 1,750 units per day.
21 Jul 2026, 01:47
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Total units produced in a working day = 7.5 * 500
So, total units produced in 22 working days = 22 * 7.5 * 500
However, no units were produced in first 7 days, so the work was done only on 15 days.
Hence, total units produced in 15 days = 15 * 7.5 * 500
Number of units left to finish 22 days' worth work = 7 * 7.5 * 500
These units must be divided equally between those remaining 15 days to finish the task.
Therefore, number of units by which production will increase each day = \(\frac{(7 * 7.5 * 500) }{ 15}\) = 1750
IMO, answer is C.
So, total units produced in 22 working days = 22 * 7.5 * 500
However, no units were produced in first 7 days, so the work was done only on 15 days.
Hence, total units produced in 15 days = 15 * 7.5 * 500
Number of units left to finish 22 days' worth work = 7 * 7.5 * 500
These units must be divided equally between those remaining 15 days to finish the task.
Therefore, number of units by which production will increase each day = \(\frac{(7 * 7.5 * 500) }{ 15}\) = 1750
IMO, answer is C.
