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KVPY SA Exam 2012 Question Paper
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© examsnet.com
Question : 12
Total: 80
Two workers A and B are engaged to do a piece of work. Working alone, A takes 8 hours more to complete the work than if both worked together. On the other hand, working alone, B would need
4
1
2
hours more to complete the work than if both worked together. How much time would they take to complete the job working together?
4 hours
5 hours
6 hours
7 hours
Validate
Solution:
If A & B work together take time t hr. If A work alone takes t + 8 hr. to complete the work
Work/hr by A is
1
t
+
8
.
Similarly for B work/hr is
1
t
+
9
∕
2
When A & B work together there work/hr
1
t
+
8
+
1
t
+
9
∕
2
Work will be done in t hr.
t
(
1
t
+
8
+
1
t
+
9
∕
2
)
=
1
By solving
t = 6
© examsnet.com
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