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14 Oct 2021, 04:30
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A
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Difficulty:
35%
(medium)
Question Stats:
73% (02:13) correct
27%
(02:26)
wrong
based on 167
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Jack, Tom, Beth, and Ruth are each competing to paint one side of a square fence. The fastest, Jack, painted his side in 13 hours, the slowest, Tom, painted his side in 14 hours. Which of the following could NOT be the average of the times that each of the four competitors spent painting his or her side of the fence?
A. 13.2
B. 13.3
C. 13.5
D. 13.6
E. 13.7
A. 13.2
B. 13.3
C. 13.5
D. 13.6
E. 13.7
14 Oct 2021, 09:33
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answer options are of the avg time of 4 contestants
fastest being 13 hrs and slowest 14 hours
so other two contestants timing must be within 13 to 14 hours
let avg be 13.3 hrs total time ; 13.3 *4 ; 53.2
53.2-14-13 ; 26.2 whose avg of two would be 13.1 which is possible
if avg is 13.2 hrs then 13.2*4 ; 52.8
52.8-14-13 ; 25.8 ; avg of two 12.9 hrs which is more than fastest 13 hours
this is not possible
option A is correct
fastest being 13 hrs and slowest 14 hours
so other two contestants timing must be within 13 to 14 hours
let avg be 13.3 hrs total time ; 13.3 *4 ; 53.2
53.2-14-13 ; 26.2 whose avg of two would be 13.1 which is possible
if avg is 13.2 hrs then 13.2*4 ; 52.8
52.8-14-13 ; 25.8 ; avg of two 12.9 hrs which is more than fastest 13 hours
this is not possible
option A is correct
Bunuel
22 Mar 2026, 10:03
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