Boats and Streams

Boats and Streams

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Question 1
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
A
2 hours
B
3 hours
C
4 hours
D
5 hours
Question 1 Explanation: 
Speed downstream = (13 + 4) km/hr = 17 km/hr. Time taken to travel 68 km downstream = 68/17hrs = 4 hrs.
Question 2
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
A
8.5 km/hr
B
9 km/hr
C
10 km/hr
D
12.5 km/hr
Question 2 Explanation: 
Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr. Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.
Question 3
In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A
3 km/hr
B
5 km/hr
C
8 km/hr
D
9 km/hr
Question 3 Explanation: 
Speed in still water =(1/2)*(11 + 5) kmph = 8 kmph.
Question 4
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
A
4 km/hr
B
6 km/hr
C
8 km/hr
D
Data inadequate
Question 4 Explanation: 
Rate downstream =16/2kmph = 8 kmph. Rate upstream = 16/4kmph = 4 kmph. Speed in still water = (1/2)*(8 + 4) kmph = 6 kmph.
Question 5
The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:
A
1.2 km
B
1.8 km
C
2.4 km
D
3.6 km
Question 5 Explanation: 
Speed downstream = (15 + 3) kmph = 18 kmph. Distance travelled =(18 x(2/60))km = 3.6 km.
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