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21 Jun 2019, 18:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
68% (02:38) correct
32%
(02:48)
wrong
based on 338
sessions
History
Date
Time
Result
Not Attempted Yet
An ant started walking eastwards at a speed of 2 meters per minute. If after every 4 minutes the ant reverses direction and halves its speed, how far would the ant be from the starting point after 5 hours?
A. 1/3 meters
B. 2/3 meters
C. 4/3 meters
D. 8/3 meters
E. 16/3 meters
A. 1/3 meters
B. 2/3 meters
C. 4/3 meters
D. 8/3 meters
E. 16/3 meters
firas92
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Concentration: General Management
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22 Jun 2019, 12:39
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Lets say the ant walks 8 meters (distance covered in 4 minutes) eastwards from point A and turns at point B, then walks 4 meters westwards and turns at point C which should be 4 meters from starting point A, and then walks 2 meters eastwards and turns at point D and then 1 meter westwards and turns at point E and so on.
From this pattern we can observe that the ant never walks back west of point C which is 4 meters from A.
Therefore the answer must be the answer choice which is greater than 4
Only E fits
Answer is (E)
Hit Kudos if this helped!
From this pattern we can observe that the ant never walks back west of point C which is 4 meters from A.
Therefore the answer must be the answer choice which is greater than 4
Only E fits
Answer is (E)
Hit Kudos if this helped!
22 Jun 2019, 11:40
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nick1816
1st 4 min, distance covered = 2*4 = 8 meters forward
2nd 4 min, distance covered is half in reverse direction (since spied is halved for same time) = -4 meters
3rd 4 min = +2 meters
So, series would look like 8, -4, 2, -1, 1/2, . . . Upto 60 terms
—> The above is a GP series with ratio, r = -1/2, 1st term a = 8
Sum of 60 terms = a(1 - r^(60))/(1 - r)
IMPORTANT to assume r^60 = (-1/2)^60 as 0!!
—> Sum = 8*(1 - 0)/(1 - (-1/2))
= 8/(3/2)
= 16/3 meters
IMO Option E
Pls Hit kudos if you like the solution
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