In a regular week there are 5 working days and for each day, the working hours is 8. A man gets 2.40 per hours for regular work and 3.20 per hour for overtimes .If he earns 432 in 4 weeks then how many hours does he work for?

1. A

   160

2. B

   175

3. C

   180

4. D

   195

Appeared in: HSSC Staff Nurse - 2015

Explanation

• the sum of regular hours and overtime hours.
• First, calculate the total regular working hours over the 4-week period: 5 days/week × 8 hours/day × 4 weeks = 160 hours.
• Next, determine the earnings from these regular hours: 160 hours × ₹2.40/hour = ₹384.
• Subtract the regular earnings from the total earnings to find the amount earned from overtime: ₹432 - ₹384 = ₹48.
• Divide the overtime earnings by the overtime pay rate to find the number of overtime hours: ₹48 ÷ ₹3.20/hour = 15 hours.
• Finally, add the regular hours and overtime hours to get the total hours worked: 160 + 15 = 175 hours.

Why Other Options Were Wrong

• Option A: This value represents only the total regular working hours over the 4-week period (5 days × 8 hours × 4 weeks = 160 hours). It does not account for the overtime hours worked.
• Option C: This option is incorrect. If the total hours were 180, it would mean 20 hours of overtime (180 - 160). This would result in overtime earnings of ₹64 (20 hours × ₹3.20/hour), and total earnings of ₹448 (₹384 + ₹64), not ₹432.
• Option D: This option is incorrect. If the total hours were 195, it would imply 35 hours of overtime (195 - 160). This would result in overtime earnings of ₹112 (35 hours × ₹3.20/hour), and total earnings of ₹496 (₹384 + ₹112), not ₹432.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of total work hours from regular and overtime earnings as background academic context rather than a clinical decision trigger.
• While this is a general aptitude question, the underlying skill of breaking down a problem into smaller parts is crucial in nursing for tasks like medication dosage calculation and fluid balance monitoring.
• Understanding pay structures, including regular and overtime rates, is a practical life skill important for all professionals, including nurses, to verify salary and manage personal finances.
• What if? If the overtime rate was also ₹2.40 per hour, the total hours worked would be ₹432 / ₹2.40 = 180 hours. The concept of a higher overtime rate is key to the calculation.

How to Approach the Question

• First, identify all the given numerical values: regular work schedule (5 days/week, 8 hours/day), pay rates (regular: ₹2.40/hr, overtime: ₹3.20/hr), total duration (4 weeks), and total earnings (₹432).
• Calculate the total number of regular working hours for the entire 4-week period. This is your baseline.
• Calculate the total earnings that would come from only these regular hours.
• Subtract the regular earnings from the total earnings provided in the problem. The result is the amount of money earned from overtime work.
• Use the overtime pay rate to calculate the number of overtime hours worked by dividing the overtime earnings by the overtime rate.
• Finally, add the baseline regular hours and the calculated overtime hours to find the total hours worked.

Concept Tested & Keywords

• Concept Tested: Calculation of total work hours from regular and overtime earnings.
• Stem keywords: working days, working hours, regular work, overtimes, earns, 4 weeks
• Lead-in keywords: how many hours
• Negative lead-in flag: false

Question ID

QwN5_Xu_xPMTxalh3V1PXB

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