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06 Apr 2020, 06:17
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SravnaTestPrep
X takes 10 days to complete a task. Y takes half that time to complete the same task. X starts working on the task and later Y joins X. Both work on the task together and complete the task. If 40% of the total work is done by X, for how many days did X and Y work together?
A. 2
B. 3
C. 4
D. 5
E. 6
A. 2
B. 3
C. 4
D. 5
E. 6
xa+(x+y)b=1
xa+xb=2/5
(x+y)b-xb=1-2/5=3/5
yb=3/5, (1/5)b=3/5, b=3
Ans (B)
28 Aug 2020, 00:23
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Given: X takes 10 days to complete a task. Y takes half that time to complete the same task. X starts working on the task and later Y joins X. Both work on the task together and complete the task.
Asked: If 40% of the total work is done by X, for how many days did X and Y work together?
X takes 10 days to complete a task.
Y takes 5 days to complete a task.
X starts working on the task and later Y joins X. Both work on the task together and complete the task.
Let us assume that X worked for x days and then they both worked together for y days to complete the task
Work done by X = x/10 + y/10
Work done by Y = y/5
(x+y)10 + y/5 = 1
x/10 + 3y/10 = 1
x + 3y = 10
Work done by X = (x+y)/10 = .4
x + y = 4
X & Y worked together for = y = 3 days
IMO B
Asked: If 40% of the total work is done by X, for how many days did X and Y work together?
X takes 10 days to complete a task.
Y takes 5 days to complete a task.
X starts working on the task and later Y joins X. Both work on the task together and complete the task.
Let us assume that X worked for x days and then they both worked together for y days to complete the task
Work done by X = x/10 + y/10
Work done by Y = y/5
(x+y)10 + y/5 = 1
x/10 + 3y/10 = 1
x + 3y = 10
Work done by X = (x+y)/10 = .4
x + y = 4
X & Y worked together for = y = 3 days
IMO B
18 Sep 2020, 10:39
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I solved this in a slightly different way.
X completed 40% of the work. So, Y completed the 60% remaining work.
Y takes 5 days to complete 100% of work. So, to complete 60% of work, he needs 60*5/100 = 3 days.
X completed 40% of the work. So, Y completed the 60% remaining work.
Y takes 5 days to complete 100% of work. So, to complete 60% of work, he needs 60*5/100 = 3 days.
