[Cyclist] There is road besides a river. Two friends started from a place A, moved to a templesituated at

For Competitive Exams

There is road besides a river. Two friends started from a place A, moved to a temple
situated at another place B and then returned to A again. One of them moves on a cycle at
a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river
flows at the speed of 4 km/hr, which of the two friends will return to place A?

Both

Boater

Cyclist

None of these

Explanation:

The cyclist moves both ways at a speed of 12khr so average speed fo the cyclist – 12 km/hr
Also bat sailor moves downstream at 10+4 = 14km/hr and upstream 10- 4 = 6km/hr
Average speed of the boat sailor = 2 x 14 x 6 / 14 +6 = 42/ 5 = 8.4km/hr
The average speed of cyclist is greater cyclist comes first and return to place A

Additional Questions

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?	Answer
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?	Answer
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:	Answer
A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?	Answer
A boat covers a certain distance downstream in 1 hour, while it comes back in 1$ \dfrac{1}{2} $ hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?	Answer
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and the stream is:	Answer
Two pipes A and B can fill a tank in 10 hrs and 40 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?	Answer
A boat can travel with a speed of 12 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.	Answer
A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 54 km downstream	Answer
A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?	Answer

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