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Trains Boats and Streams Practice Test 3 with solutions
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© examsnet.com
Question : 29
Total: 40
Samir can travel 12 miles dowstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. But when he could double his rowing rate for his 24-mile round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. Find the speed of the current in miles/hour.
2
2
3
2
1
3
1
2
3
1
1
3
Validate
Solution:
Let x km/hr and y km/hr be the speed of rowing in still water and speed of the current respectively;
then
12
x
−
y
−
12
x
+
y
= 6
⇒
24
y
x
2
−
y
2
= 6
⇒
x
2
=
y
2
+
4
y
... (i)
Again,
12
2
x
−
y
−
12
2
x
+
y
= 1
⇒
24
y
4
x
2
−
y
2
= 1
⇒
x
2
=
y
2
+
24
y
4
... (ii)
From equations (i) and (ii), we get,
y
2
+
4
y
=
y
2
+
24
y
4
⇒
3
y
2
= 8y
∴ y =
8
3
=
2
1
3
miles/he.
© examsnet.com
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