Boats and Streams- Aptitude Questions and Answers

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There is a road beside 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 kmph, while the other sails on a boat at a speed of 10 kmph . if the river flows at the speed of 4 kmph , which of the two friends will return to place A first?

A)

Sailor


B)

Cyclist


C)

Both


D)

Data insufficient



Correct Answer :

Cyclist


Explanation :

Clearly, The cyclist moves both ways at a speed of 12 kmph
Average speed of the cyclist = 12 kmph
the boat sailor speed downstream = (10+4) = 14 kmph
speed upstream =(10-4) = 6 kmph
So, average speed of the boat sailor =[ 2*14*6]/[14+6] kmph
=42/5 kmph =8.4 kmph

Since, the average speed of the cyclist is greater 12 kmph> 8.4 kmph
So, the cyclist return to A first.

A boat takes 19 hrs for travelling downstream from point A to point B. and coming back to a point C midway between A and B. if the velocity of the stream is 4 kmph. and the speed of the boat in still water is 14 kmph. what is the distance between A and B?

A)
13.5 km/hr

B)
16.5 km/hr

C)
12 km/hr

D)
8.25 km/hr


Correct Answer :

12 km/hr


Explanation :

Speed in downstream = (14 + 4) km/hr = 18 km/hr
Speed in upstream = (14 – 4) km/hr = 10 km/hr

Let the distance between A and B be x km. Then,

x/18 + (x/2)/10 = 19
x/18 + x/20 = 19
19x/180 = 19
x = 180 km
Hence, the distence between A and B is 180 km

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