In a regular week, there are 5 working days and for each day, the working hours are 6. A man gets Rs. 2.5 per hour for regular work and Rs. 3.25 per hour for overtime. If he earns Rs. 378 in 4 weeks, then how many hours does he work for ?
Question
In a regular week, there are 5 working days and for each day, the working hours are 6. A man gets Rs. 2.5 per hour for regular work and Rs. 3.25 per hour for overtime. If he earns Rs. 378 in 4 weeks, then how many hours does he work for ?
Solution
Sure, let's break this down:
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First, let's calculate the total earnings from regular work in a week. There are 5 working days in a week and the man works for 6 hours each day. So, he works for a total of 5*6 = 30 hours in a week.
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He earns Rs. 2.5 per hour for regular work. So, in a week, he earns 2.5*30 = Rs. 75 from regular work.
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In 4 weeks, his total earnings from regular work would be 4*75 = Rs. 300.
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Now, the man earned a total of Rs. 378 in 4 weeks. If we subtract his earnings from regular work, we can find out how much he earned from overtime. So, his overtime earnings are 378 - 300 = Rs. 78.
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He earns Rs. 3.25 per hour for overtime. So, the number of overtime hours he worked is 78/3.25 = 24 hours.
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Therefore, in 4 weeks, the man worked a total of 30*4 (regular hours) + 24 (overtime hours) = 120 + 24 = 144 hours.
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