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Time and Work Practice Test 1 with solutions
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© examsnet.com
Question : 26
Total: 40
A is twice as good a workman as B and thrice as good a workman as C. If C alone can do a piece of work in 24 days, how long would the three persons take to finish the work working together?
3
3
11
days
4
4
7
days
4
4
11
days
3
4
11
days
Validate
Solution:
👈: Video Solution
Here, ratio of efficiency of A, B and C = 1 :
1
2
:
1
3
So, ratio of their time taken to complete the work = 1 : 2 : 3
Now C completes the work in 24 days, so A and B will complete the work in 8 and 16 days respectively.
Hence, (A + B + C)'s 1 day's work =
1
8
+
1
16
+
1
24
=
11
48
Therefore, (A + B + C) will complete the work in
48
11
=
4
4
11
days.
© examsnet.com
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