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Trains Boats and Streams Practice Test 4 with solutions
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© examsnet.com
Question : 6
Total: 40
A boat sails 20 km downstream and returns back to the starting point. The speed of the boat in the still water is 12 km/hour. Boat takes 2 hours less in downstream than the upstream. Find the speed of the boat in the downstream.
8 km/hour
20 km/hour
16 km/hour
14 km/hour
18 km/hour
Validate
Solution:
Let the rate of current = x km/hour
According to the question,
32
12
−
x
−
32
12
+
x
= 2
=
1
12
−
x
−
1
12
+
x
=
1
16
=
12
+
x
−
12
+
x
144
−
x
2
=
1
16
x
2
+ 32x - 144 = 0
x
2
+ 36x - 4x - 144 = 0
(x + 36) (x - 4) = 0
x = 4 km/hour
Downstream speed of the boat = 12 + 4
= 16 km/hour
© examsnet.com
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