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RBI Assistant Model Paper 8
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© examsnet.com
Question : 45
Total: 100
Sanjay can cover a distance of 30 km in upstream and 45 km in downstream in 13 hours. At the same speed, he can travel 24 km upstream and 30 km downstream in 10 hours. What is the speed of the water current ?
9 km/hr
8 km/hr
6 km/hr
4 km/hr
12 km/hr
Validate
Solution:
Let speed of the boat in still water and speed of the current be
x
km/hr and
y
km/hr respectively.
ATQ
30
x
−
y
+
45
x
+
y
=
13
.......... (i)
24
x
−
y
+
30
x
+
y
=
10
.......... (ii)
By equating (i) and (ii)
300
x
−
y
+
450
x
+
y
=
312
x
−
y
+
390
x
+
y
60
x
+
y
=
12
x
−
y
x
y
=
3
2
Let
x
=
3
a
and
y
=
2
a
Now,
30
3
a
−
2
a
+
45
3
a
+
2
a
=
13
30
a
+
45
5
a
=
13
a
=
3
∴ speed of the current =
6
km
/
hr
© examsnet.com
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