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Test: Boats And Streams- 1 - CUET MCQ


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10 Questions MCQ Test General Test Preparation for CUET - Test: Boats And Streams- 1

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Test: Boats And Streams- 1 - Question 1

Q. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

Detailed Solution for Test: Boats And Streams- 1 - Question 1

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.

Test: Boats And Streams- 1 - Question 2

A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
 

Detailed Solution for Test: Boats And Streams- 1 - Question 2

Let the speed of the stream be x km/hr. Then,

Speed downstream = (15 + x) km/hr,

Speed upstream = (15 - x) km/hr.

⇒  9x2 = 225

⇒  x2 = 25

⇒  x = 5 km/hr.

Test: Boats And Streams- 1 - Question 3

In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

 

Detailed Solution for Test: Boats And Streams- 1 - Question 3

Speed in still water =   = 8 kmph.

Test: Boats And Streams- 1 - Question 4

A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
 

Detailed Solution for Test: Boats And Streams- 1 - Question 4

Suppose he move 4 km downstream in x hours. Then,

Speed downstream = 

 

Speed upstream = 

So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

Test: Boats And Streams- 1 - Question 5

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

Detailed Solution for Test: Boats And Streams- 1 - Question 5

Rate downstream = 

Rate upstream = 2 km/hr.

Speed in still water = 

 Required time = 

Test: Boats And Streams- 1 - Question 6

Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is:
 

Detailed Solution for Test: Boats And Streams- 1 - Question 6

Speed downstream = (14 + 1.2)
= 15.2kmph
Speed upstream = (14-1.2)
= 12.8kmph
Total time taken = 4864/15.2 + 4864/12.8
= 320 + 380
= 700hrs

Test: Boats And Streams- 1 - Question 7

The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
 

Detailed Solution for Test: Boats And Streams- 1 - Question 7

Speed downstream = (22 + 4) kmph = 26 kmph.

Distance travelled = 26 x 24/60

Distance travelled = 10.4 km

 

 

Test: Boats And Streams- 1 - Question 8

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

Detailed Solution for Test: Boats And Streams- 1 - Question 8

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

Test: Boats And Streams- 1 - Question 9

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.

Detailed Solution for Test: Boats And Streams- 1 - Question 9

Speed downstream = (22 + 5) km/hr = 27 km/hr.

Time taken to travel 54 km downstream = (54/27) hours

= 2 hours 

 

Test: Boats And Streams- 1 - Question 10

In one hour, a boat goes 14 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

Detailed Solution for Test: Boats And Streams- 1 - Question 10

Speed in still water = 1/2 (14 + 8) km/hr

= 11 km/hr

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