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Boats & Streams

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21.

Speed of river is 6 km/hr. Speed of a motorboat in still water is 30km/hr. How much distance can it cover downstream in 24minutes?

Answer: D

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22.

A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?

Answer: A

US = 25

DS = 35

M = (35 - 25)/2 = 5

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23.

A boat with speed 15 km/hr in standing water goes 30 km downstream and returns in a total of 4.5 hours. What is the speed of current?

Answer: C

Speed of the boat in still water: 15 km/hr

Speed of boat downstream: (15+x)km/hr where x is speed of the current.

The boat travels 30 km downstream and then 30 km upstream and takes 9/2 hours.

Total time= Time taken to travel downstream + Time taken to travel upstream

=> 4/5= (30/(15+x))+(30/(15-x))

=>x= 5

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24.

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: B

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25.

A man can row 7 ½ kms on hour in still water and he finds that it takes hi twice as long to row down the river. The rate of stream is

Answer: B

Let the rate of the stream be x km/hr. 

 

Then Speed downstream = (15/2 + x)km/hr. 

 

Speed upstream = (15/2 -x)km/hr 

 

(15/2 + x) = 2 (15/2 - x) 

 

=> 3x =15/2 

 

=> x = 15/6 = 5/2 = 2.5 

 

Therefore, Rate of stream = 2.5 km/hr

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26.

A man can row 9 1/3 km/hr in still water and he finds that is thrice as much time to row u p than as to row down the same distance in river. The speed of the current is:

Answer: D

Let Speed upstream = x km/hr 

 

Speed downstream = 3x km/hr 

 

Speed in still water = ½ (x+3x) km/hr = 2x km/hr 

 

Speed of current = ½ (3x-x) km/hr = x km/hr 

 

2x = 28/3 or x = 14/3 = 4 2/3 km/hr

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27.

A steamer goes downstream from one port to another in 4 hours, it covers the same distance upstream in 5 hours. If the speed of the stream is 2km/hr,the distance between the two parts is?

Answer: D

Let the distance between the two parts be x km. 

 

Then speed downstream = x/4 km/hr. 

 

Speed Upstream = x/5 km/hr 

 

Speed of the stream = ½ (x/4 –x/5) 

 

Therefore, ½(x/4 –x/5) = 2. => x/4 –x/5 = 4 => x = 80. 

 

Hence, the distance between the two ports is 80km.

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28.

Ajay takes 4 hours more while swimming upstream than downstream. His speed in still water is 10 km/hr. The speed of stream is 2 km/hr. What is the distance?

Answer: A

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29.

A boats man can row in still water at speed of 7 km/hr. It takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km/hr. what is the distance between the two destinations?

Answer: B

x = 7 km/hr ; y = 3 km/hr
Ds = 10 km/hr ; Us = 4 km/hr
Distance (d) is same. Therefore, if time taken for downstream is t hours, the time for upstream is (t + 6) hours.
10*t = 4*(t + 6)
6t = 24 ; t = 4 hours
d = 10*4 = 40 km

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30.

The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?

Answer: D

Speed of the boat downstream = 15 + 3 = 18 kmph

= 18 * 5/18 = 5 m/s

Hence time taken to cover 60 m = 60/5 = 12 seconds.

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