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RRB Group D Model Paper 3 with solutions
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© examsnet.com
Question : 52
Total: 100
To do a certain work, B would take time thrice as long as A and C together, C twice as long as A and B together. The three men together complete the work in 10 days. The time taken by A to complete the work separately is __________.
22 days
24 days
30 days
20 days
Validate
Solution:
(2) Let (A + C) complete the work in ‘a’ days. So B will complete the work in 3a days.
1
a
+
1
3
a
=
1
40
→ 3a = 40 ⇒ a =
40
3
Let (A + B) complete the work in n days. So C will complete the work in 2n days.
1
n
+
1
2
n
=
1
10
⇒ n =
30
2
= 15
(A + B + C)'s1 day's work =
1
10
1
A
+
1
40
+
1
30
=
1
10
⇒
1
A
=
12
−
3
−
4
120
=
5
120
=
1
24
Therefore, A will complete the work in 24 days.
© examsnet.com
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