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RBI Assistant Prelims 2017 Sitting 2 Paper
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© examsnet.com
Question : 38
Total: 100
A can do a work in 5 days less than the time taken by B to do it. If both of them together
11
1
9
take days to complete the whole work, then what will be the time taken by 'B' alone to do the same work?
15 days
20 days
25 days
30 days
None of these
Validate
Solution:
(3) Let the time taken by B be x days.
Time taken by A
=
(
x
−
5
)
days
According to the question,
1
x
−
5
+
1
x
=
9
100
⇒
x
+
x
−
5
x
(
x
−
5
)
=
9
100
⇒
2
x
−
5
x
(
x
−
5
)
=
9
100
=
9
x
2
−
45
x
=
200
x
−
500
=
9
x
2
−
245
x
+
500
=
0
=
9
x
2
−
225
x
−
20
x
+
500
=
0
⇒
9
x
(
x
−
25
)
−
20
(
x
−
25
)
=
0
⇒
(
x
−
25
)
(
9
x
−
20
)
=
0
=
x
=
25
because
x
≠
20
9
© examsnet.com
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