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10 Feb 2020, 23:11
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B
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Difficulty:
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93% (01:41) correct
7%
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A group of 25 scientists works in a research lab. The average work experience of the entire group is 12 years. The male scientists have an average work experience of 14 years. What is the average work experience of female scientists, if there are 10 females in the group?
A) 7
B) 9
C) 9.5
D) 8
E) 10.1
A) 7
B) 9
C) 9.5
D) 8
E) 10.1
17 Feb 2020, 08:29
Kudos
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Approach:
Given:
- Total Scientists : 25, female:10, male:15
- Avg exp (All): 12 yrs
- Avg exp (Female): assume x
- Avg exp (male): 14 yrs
Total exp: 14*15 + x*10 = 12*25
210 + 10x = 300 => x = 9
Avg exp (Female): 9 yrs
Option B
Given:
- Total Scientists : 25, female:10, male:15
- Avg exp (All): 12 yrs
- Avg exp (Female): assume x
- Avg exp (male): 14 yrs
Total exp: 14*15 + x*10 = 12*25
210 + 10x = 300 => x = 9
Avg exp (Female): 9 yrs
Option B
17 Feb 2020, 11:47
Kudos
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Raxit85
A group of 25 scientists works in a research lab. The average work experience of the entire group is 12 years. The male scientists have an average work experience of 14 years. What is the average work experience of female scientists, if there are 10 females in the group?
A) 7
B) 9
C) 9.5
D) 8
E) 10.1
A) 7
B) 9
C) 9.5
D) 8
E) 10.1
total age of all ; 25*12 ; 300
total male ; 25-10 ; 15
and their sum of ages ; 15*14 ; 210
women sum of age ; 300-210 ; 90
and avg ; 90/10 ; 9
IMO B
