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A man worked 14 hour a day for the first 2 days, 12 hour a day for the next 3 days but did not work on the sixth day. Then on the average how much did he work in the first six days ?
- a)10 hour 4 minute
- b)9 hour 40 minute
- c)10 hour 40 minute
- d)11 hour 40 minute
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A man worked 14 hour a day for the first 2 days, 12 hour a day for the...
Man’s worked for the first 2 days
= 14 × 2 × 60
= 1680 minute Man’s worked for the next 3 days
= 12 × 3 × 60
= 2160 minute
Total minutes he worked
= 1680 + 2160
= 3840 minute
His average work for one day
= 14 × 2 × 60
= 1680 minute Man’s worked for the next 3 days
= 12 × 3 × 60
= 2160 minute
Total minutes he worked
= 1680 + 2160
= 3840 minute
His average work for one day
Most Upvoted Answer
A man worked 14 hour a day for the first 2 days, 12 hour a day for the...
Understanding the Problem
To find the average hours worked per day over six days, we first need to calculate the total hours worked in that period.
Calculating Total Hours Worked
- Days 1 & 2: The man worked 14 hours each day for 2 days.
- Total for first 2 days = 14 hours/day * 2 days = 28 hours
- Days 3 to 5: He worked 12 hours each day for the next 3 days.
- Total for next 3 days = 12 hours/day * 3 days = 36 hours
- Day 6: The man did not work, which means 0 hours.
Summing Total Hours
- Total hours worked = 28 hours (first 2 days) + 36 hours (next 3 days) + 0 hours (sixth day)
- Total hours worked = 28 + 36 + 0 = 64 hours
Calculating the Average
- To find the average hours worked per day over the 6 days, divide total hours by the number of days:
- Average hours per day = Total hours worked / Number of days
- Average hours per day = 64 hours / 6 days ≈ 10.67 hours/day
Converting Hours to Hours and Minutes
- The decimal 0.67 hours can be converted into minutes:
- 0.67 hours * 60 minutes/hour = 40 minutes
- Therefore, the average is approximately 10 hours and 40 minutes.
Conclusion
The average work done by the man in the first six days is 10 hours and 40 minutes, which corresponds to option 'C'.
To find the average hours worked per day over six days, we first need to calculate the total hours worked in that period.
Calculating Total Hours Worked
- Days 1 & 2: The man worked 14 hours each day for 2 days.
- Total for first 2 days = 14 hours/day * 2 days = 28 hours
- Days 3 to 5: He worked 12 hours each day for the next 3 days.
- Total for next 3 days = 12 hours/day * 3 days = 36 hours
- Day 6: The man did not work, which means 0 hours.
Summing Total Hours
- Total hours worked = 28 hours (first 2 days) + 36 hours (next 3 days) + 0 hours (sixth day)
- Total hours worked = 28 + 36 + 0 = 64 hours
Calculating the Average
- To find the average hours worked per day over the 6 days, divide total hours by the number of days:
- Average hours per day = Total hours worked / Number of days
- Average hours per day = 64 hours / 6 days ≈ 10.67 hours/day
Converting Hours to Hours and Minutes
- The decimal 0.67 hours can be converted into minutes:
- 0.67 hours * 60 minutes/hour = 40 minutes
- Therefore, the average is approximately 10 hours and 40 minutes.
Conclusion
The average work done by the man in the first six days is 10 hours and 40 minutes, which corresponds to option 'C'.
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A man worked 14 hour a day for the first 2 days, 12 hour a day for the next 3 days but did not work on the sixth day. Then on the average how much did he work in the first six days ?a)10 hour 4 minuteb)9 hour 40 minutec)10 hour 40 minuted)11 hour 40 minuteCorrect answer is option 'C'. Can you explain this answer?
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