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25 Jul 2018, 01:06
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:27) correct
11%
(01:24)
wrong
based on 684
sessions
History
Date
Time
Result
Not Attempted Yet
A certain class, consisting of a lecture and a question-and-answer session, lasted from 2:45 to 4:30 one afternoon. If the lecture lasted from 2:45 to 4:15, then the question-and-answer session was what fraction of the total class time?
A) 1/7
B) 1/6
C) 1/5
D) 1/4
E) 1/3
A) 1/7
B) 1/6
C) 1/5
D) 1/4
E) 1/3
25 Jul 2018, 01:29
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Total class time from 2:45 to 4:30 =>105
lecture lasted from 2:45 to 4:15 => 90 minutes
question-and-answer session lecture lasted from 4:15 to 4:30 => 15 minutes
question-and-answer session was what fraction of the total class time = \(\frac{15}{105}\) = \(\frac{1}{7}\)
Hence option A
lecture lasted from 2:45 to 4:15 => 90 minutes
question-and-answer session lecture lasted from 4:15 to 4:30 => 15 minutes
question-and-answer session was what fraction of the total class time = \(\frac{15}{105}\) = \(\frac{1}{7}\)
Hence option A
26 Jul 2018, 01:54
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Solution
Given:
- • A certain class, consisting of a lecture and a question-and-answer session, lasted from 2:45 to 4:30 one afternoon
• The lecture lasted from 2:45 to 4:15
To find:
- • Fraction of question and answer session of the total class time
- o i.e. Question and Answer session time/Total class time.
Approach and Working:
- • We are given that the class lasted from 2:45 to 4:30 PM
- o i.e. a total of 1 Hour and 45 Minutes.
o Converting the units into minutes we get:
- Total Cass Time: 105 Minutes (60 minutes + 45 minutes)
- • Lecture lasted from 2:45 to 4:15 PM
- o i.e. for 1 Hour and 30 Minutes
o Converting into minutes we get
- Lecture time = 90 Minutes.
- • Therefore, Question-and-answer-session time = Class time – Lecture Time
- o i.e. 105 – 90 Minutes = 15 minutes
Hence Fraction of Question and answer time/Class time = \(\frac{15}{105} = \frac{1}{7}\)
Hence, the correct answer is option A.
Answer: A
