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13 Feb 2019, 01:09
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
75% (01:31) correct
25%
(01:26)
wrong
based on 88
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Jack’s morning routine includes three activities: taking a shower, drinking coffee, and walking to work. He does each activity in sequential order without overlapping. Assuming no gaps between each activity, it takes him 45 minutes to complete his routine. How long does it take him to drink coffee?
(1) It takes him four times as long to walk to work as it takes him to drink coffee.
(2) Showering and drinking coffee take him a total of 25 minutes.
(1) It takes him four times as long to walk to work as it takes him to drink coffee.
(2) Showering and drinking coffee take him a total of 25 minutes.
Archit3110
Major Poster
13 Feb 2019, 07:15
Kudos
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Bunuel
given
x+y+z=45
#1
z=4y
in sufficient
#2
x+y=25
in sufficient
from1 & 2
25-y+y+4y= 45
y= 5
IMO C
03 Sep 2020, 23:17
Kudos
Bookmarks
Let time to take a Shower = S minutes, Walk = W minutes and drink coffee = C minutes
We are given that the time taken to do all 3, takes 45 minutes, i.e S + W + C = 45 -- (Equation 1)
So we need to find the time to drink Coffee.
Statement I: It takes him four times as long to walk to work as it takes him to drink coffee i.e if time to drink coffee is 1 hour, then time to walk will be 4 times that = 4 hours.
W = 4C
Substituting in Equation (1), we have S + 4C + C = S + 5C = 45
With this statement, we have no information linking Shower to Coffee.
Therefore Statement I Alone is Insufficient. Answer options could be B, C or E
Statement II: Showering and drinking coffee take him a total of 25 minutes. i.e S + C = 25
Substituting in Equation (1) we get W + 25 = 45 or W = 20 minutes.
We cannot get any information on time to drink coffee.
Therefore Statement II Alone is Insufficient. Answer options could be C or E
Combining Both Statements:
W = 4C and W = 20 minutes.
Time to drink coffee = \(\frac{20}{5}\) = 5 minutes
Therefore Both Statements together are sufficient.
Option C
Arun Kumar
We are given that the time taken to do all 3, takes 45 minutes, i.e S + W + C = 45 -- (Equation 1)
So we need to find the time to drink Coffee.
Statement I: It takes him four times as long to walk to work as it takes him to drink coffee i.e if time to drink coffee is 1 hour, then time to walk will be 4 times that = 4 hours.
W = 4C
Substituting in Equation (1), we have S + 4C + C = S + 5C = 45
With this statement, we have no information linking Shower to Coffee.
Therefore Statement I Alone is Insufficient. Answer options could be B, C or E
Statement II: Showering and drinking coffee take him a total of 25 minutes. i.e S + C = 25
Substituting in Equation (1) we get W + 25 = 45 or W = 20 minutes.
We cannot get any information on time to drink coffee.
Therefore Statement II Alone is Insufficient. Answer options could be C or E
Combining Both Statements:
W = 4C and W = 20 minutes.
Time to drink coffee = \(\frac{20}{5}\) = 5 minutes
Therefore Both Statements together are sufficient.
Option C
Arun Kumar
