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SBI PO 02 July 2016 Shift 1 Paper
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© examsnet.com
Question : 37
Total: 100
A and B can complete a piece of work in 80 days and 120 days respectively. They started working together but A left after 20 days. After another 12 days C joined B and they completed the remaining work in 28 more days. In how many days can C alone complete the work?
110 days
112 days
114 days
120 days
None of these
Validate
Solution:
Work done by A and B in20 days = 20
(
1
80
+
1
120
)
= 20
(
3
+
2
240
)
=
5
12
Work done by B in 12 days
=
12
120
=
1
10
Remaining work
= 1 -
5
12
−
1
10
=
60
−
25
−
6
60
=
29
60
Let C alone do the work in xdays.
∴
28
120
]
+
28
x
=
29
60
⇒
28
x
=
29
60
−
28
120
=
58
−
28
120
=
30
120
⇒
28
x
=
1
4
⇒ x = 28 × 4 = 112 days
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