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An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?
- a)48.75/168
- b)52.5/120
- c)17/42
- d)55.5/168
- e)15/38
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An average teenager sleeps from 23:00 P.M till 7:30 in the morning of ...
In one week there are (24 x 7 =168) hours.
The average teenager sleeps 8.5 hours on weekdays and (1.5 x 8.5 = 12.75) hours on the weekend.
Altogether, the total sleeping time per one week is (8.5 x 5 + 12.75 x 2 = 68).
The fractional part of the sleep is (68/168 = 17/42.
The average teenager sleeps 8.5 hours on weekdays and (1.5 x 8.5 = 12.75) hours on the weekend.
Altogether, the total sleeping time per one week is (8.5 x 5 + 12.75 x 2 = 68).
The fractional part of the sleep is (68/168 = 17/42.
Most Upvoted Answer
An average teenager sleeps from 23:00 P.M till 7:30 in the morning of ...
To find the fraction part of the entire week that the teenager is asleep, we need to calculate the total amount of time the teenager sleeps in a week and divide it by the total amount of time in a week.
Let's break down the calculation step by step:
1. Calculate the total amount of time the teenager sleeps on a school night:
- The teenager sleeps from 23:00 P.M till 7:30 in the morning, which is a total of 8.5 hours.
2. Calculate the total amount of time the teenager sleeps on the weekend:
- On Friday and Saturday nights, the teenager sleeps 50% more each night, which means he sleeps an additional 50% of 8.5 hours.
- 50% of 8.5 hours is 4.25 hours.
- Therefore, the teenager sleeps 8.5 + 4.25 = 12.75 hours on each weekend night.
3. Calculate the total amount of time the teenager sleeps in a week:
- On school nights, the teenager sleeps 8.5 hours per night.
- On weekend nights, the teenager sleeps 12.75 hours per night.
- In a week, there are 5 school nights and 2 weekend nights.
- Therefore, the total amount of time the teenager sleeps in a week is 5 * 8.5 + 2 * 12.75 = 42.5 + 25.5 = 68 hours.
4. Calculate the fraction part of the entire week that the teenager is asleep:
- In a week, there are 7 days and each day has 24 hours.
- Therefore, the total amount of time in a week is 7 * 24 = 168 hours.
- The fraction part of the entire week that the teenager is asleep is 68 / 168 = 17 / 42.
So, the correct answer is option 'C', 17/42.
Let's break down the calculation step by step:
1. Calculate the total amount of time the teenager sleeps on a school night:
- The teenager sleeps from 23:00 P.M till 7:30 in the morning, which is a total of 8.5 hours.
2. Calculate the total amount of time the teenager sleeps on the weekend:
- On Friday and Saturday nights, the teenager sleeps 50% more each night, which means he sleeps an additional 50% of 8.5 hours.
- 50% of 8.5 hours is 4.25 hours.
- Therefore, the teenager sleeps 8.5 + 4.25 = 12.75 hours on each weekend night.
3. Calculate the total amount of time the teenager sleeps in a week:
- On school nights, the teenager sleeps 8.5 hours per night.
- On weekend nights, the teenager sleeps 12.75 hours per night.
- In a week, there are 5 school nights and 2 weekend nights.
- Therefore, the total amount of time the teenager sleeps in a week is 5 * 8.5 + 2 * 12.75 = 42.5 + 25.5 = 68 hours.
4. Calculate the fraction part of the entire week that the teenager is asleep:
- In a week, there are 7 days and each day has 24 hours.
- Therefore, the total amount of time in a week is 7 * 24 = 168 hours.
- The fraction part of the entire week that the teenager is asleep is 68 / 168 = 17 / 42.
So, the correct answer is option 'C', 17/42.
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An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?a)48.75/168b)52.5/120c)17/42d)55.5/168e)15/38Correct answer is option 'C'. Can you explain this answer?
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An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?a)48.75/168b)52.5/120c)17/42d)55.5/168e)15/38Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?a)48.75/168b)52.5/120c)17/42d)55.5/168e)15/38Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?a)48.75/168b)52.5/120c)17/42d)55.5/168e)15/38Correct answer is option 'C'. Can you explain this answer?.
An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?a)48.75/168b)52.5/120c)17/42d)55.5/168e)15/38Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?a)48.75/168b)52.5/120c)17/42d)55.5/168e)15/38Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An average teenager sleeps from 23:00 P.M till 7:30 in the morning of a schools night and on the weekend, which is Friday and Saturdays he sleeps 50% more each night. For what fraction part of the entire week is the teenager asleep?a)48.75/168b)52.5/120c)17/42d)55.5/168e)15/38Correct answer is option 'C'. Can you explain this answer?.
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