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CAT 2018 Question Paper Shift 2 Solved Paper
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© examsnet.com
Question : 86
Total: 100
A water tank has inlets of two types A and B. All inlets of type A when open, bring in water atthe same rate. All inlets of type B, when open, bring in water at the same rate. The empty tankis completely filled in 30 minutes if 10 inlets of type A and 45 inlets of type B are open, and in1 hour if 8 inlets of type A and 18 inlets of type B are open. In how many minutes will theempty tank get completely filled if 7 inlets of type A and 27 inlets of type B are open?
Your Answer:
Validate
Solution:
Let the rate of filling of Type A and Type B pipes be a and b respectively.
Given
30
×
(
10
a
+
45
b
)
=
1
and
60
×
(
8
a
+
18
b
)
=
1
⇒
30
×
(
10
a
+
45
b
)
=
60
×
(
8
a
+
18
b
)
⇒
10
a
+
45
b
=
16
a
+
36
b
⇒
3
b
=
2
a
or
a
=
1.5
b
The total work
=
30
×
(
10
a
+
45
b
)
=
30
×
(
15
b
+
45
b
)
=
1800
b
Required answer
=
‌
1800
b
7
a
+
27
b
=
‌
1800
b
10.5
b
+
27
b
=
48
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