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In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.60 per hour for regular work and Rs. 3.10 per hour for overtime. If he earns Rs. 442 in 4 weeks, then how many hours does he work for ?Question 12Answera.168b.175c.170d.150

Question

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.60 per hour for regular work and Rs. 3.10 per hour for overtime. If he earns Rs. 442 in 4 weeks, then how many hours does he work for ?Question 12Answera.168b.175c.170d.150

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Solution

To solve this problem, we need to first calculate the regular working hours and earnings, and then determine the overtime hours and earnings.

Step 1: Calculate the regular working hours in 4 weeks There are 5 working days in a week and the man works for 8 hours each day. So, in a week, he works for 5 days * 8 hours/day = 40 hours/week. Since there are 4 weeks, the total regular working hours = 4 weeks * 40 hours/week = 160 hours.

Step 2: Calculate the regular earnings in 4 weeks The man earns Rs. 2.60 per hour for regular work. So, his total earnings from regular work = 160 hours * Rs. 2.60/hour = Rs. 416.

Step 3: Calculate the overtime earnings The man's total earnings in 4 weeks is Rs. 442. So, his overtime earnings = Total earnings - Regular earnings = Rs. 442 - Rs. 416 = Rs. 26.

Step 4: Calculate the overtime hours The man earns Rs. 3.10 per hour for overtime. So, his total overtime hours = Overtime earnings / Overtime rate = Rs. 26 / Rs. 3.10/hour = approximately 8.39 hours, which we can round down to 8 hours.

Step 5: Calculate the total working hours The total working hours = Regular working hours + Overtime hours = 160 hours + 8 hours = 168 hours.

So, the man works for 168 hours in 4 weeks. Therefore, the answer is a. 168.

This problem has been solved

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