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
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.
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