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21 Jun 2021, 05:45
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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:
55%
(hard)
Question Stats:
71% (03:19) correct
29%
(03:28)
wrong
based on 246
sessions
History
Date
Time
Result
Not Attempted Yet
Harsh alone can complete 2/3rd of a coding project in 6 days. Sumit alone can complete 1/3rd of the same project in 8 days and Mini can complete 3/4th of the same work in 12 days. All of them started coding together. After 4 days, Harsh and Mini left the project. How many more days will be required by Sumit to complete the project?
(A) 2.33 days
(B) 2.67 days
(C) 3.33 days
(D) 3.67 days
(E) 4.33 days
(A) 2.33 days
(B) 2.67 days
(C) 3.33 days
(D) 3.67 days
(E) 4.33 days
23 Jun 2021, 21:44
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Bunuel
Let, work done = w, rate of Harsh = h, rate of Sumit = s and rate of Mini = m.
From data:
\(h * 6 = \frac{2}{3} * w, s * 8 = \frac{1}{3} * w, m * 12 = \frac{3}{4} * w\)
=> \(h = \frac{w}{9}, s = \frac{w}{24}\) and \(m = \frac{w}{16}\).
Also given that,
\((h + s + m) * 4 + s * t = w \) [All 3 worked on project for 4 days, \(t\) is the time taken in days by Sumit to complete rest of the work]
=> \((\frac{w}{9} + \frac{w}{24} + \frac{w}{16}) * 4 + \frac{w}{24} * t = w\) [Rest is calculation]
=>\( t = 3.33 days\)
So, correct answer is option C.
23 Jun 2021, 22:53
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Bunuel
Say there are 72 units in the project.
Harsh does 48 units in 6 days so he does 8 units/day.
Sumit does 24 units in 8 days so he does 3 units/day
Mini does 54 units in 12 days so she does 4.5 units/day.
Together in 4 days, they would do 4*(8 + 3 + 4.5) = 62 units.
10 units are left with Sumit will complete in 10/3 = 3.33 days
Answer (C)
