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The speed of a boat in still water is 15km/hr and the rate of current is
3 km/hr. the distance traveled downstream in 12 minutes is

3.0 km
4.6 km
3.6 km
6.9 km
Explanation:

Speed in still water = 15km/hr
½ (a+b) = 15km/hr
a+b = 30 km/hr -- (1)
speed of current = 3 km/hr
½ (a-b) = 3km/hr
a-b= 6 km/hr –(2)
1+2 è 2a = 36 è a=18 km/hr
ie., speed downstream = 18 km/hr
distance traveled downstream = 18 x 12/60 km = 3.6 km
Additional Questions

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A boat moves downstream at the rate of one km in 5 minutes and upstream at the rate of 4 km an hour. What is the velocity of the current?

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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?

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A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

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