BOATS AND STREAMS SOLUTIONS & SOLVED QUESTIONS

BOATS AND STREAMS SOLUTIONS & SOLVED QUESTIONS

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BOATS AND STREAMS SOLUTIONS

Important facts:

1) In water, the direction along the stream is called a downstream.

2) In water, the direction against the stream is called an upstream.

3) If the speed of the boat in still water is U km/hr and the speed of the stream is V km/hr then,

Speed downstream =U + V km/hr

Speed upstream = U – V km/hr

4) If the speed of the boat downstream is A km/hr and the speed of the boat upstream is B km/hr then,

Speed of the boat in still water = 1/2(A+B) km/hr

Speed of the stream =1/2(A-B) km/hr

Let us understand this concept with the help of some examples:

Eg: If a man can swim downstream at the speed of 6kmph and upstream at 2kmph his speed in still water is:

Solution: Speed downstream x = 6 kmph

Speed upstream y = 2kmph

So, Speed in still water = ½ (x+y) kmph

= ½ (6+2)

= 8/2 = 4kmph

So, speed in still water = 4kmph

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Eg: If Ankit rows 15km upstream and 21km downstream taking 3 hours each time, then the speed of the stream is:

Solution:Speed downstream = distance travelled / time taken = 21/3

x = 7km / hr

Speed upstream = 15/3 =5

y = 5km/hr

Speed of the stream = ½ (x-y) km/hr

= ½ (7-5)

= 1 km/hr

Speed of the stream = 1km/ hr

Eg: Amit rows 750m in 675 seconds upstream and returns in 7 ½ minutes. What is his rowing speed in still water:

Solution: Speed upstream ‘y’ = 750m / 675 sec = 30/31 m/sec

Speed downstream ‘x’ = 700/ 7 ½ m / minutes

a = 750/ 450 m / sec = 5/3 m/sec

Speed in still water = ½ (x+y)

= ½ (750/450 + 750/675) m /sec

= ½ (750/450 + 750/675) * 18/5 km/hr

= ½ (5/3 + 30/31) x 18/5 km/hr

= 4.7 km/hr

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August 25, 2019