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Basic Practice: Boats And Streams - Free MCQ Test with solutions for CUET


MCQ Practice Test & Solutions: Basic Practice: Boats And Streams (10 Questions)

You can prepare effectively for CUET Commerce General Test Preparation for CUET UG with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Basic Practice: Boats And Streams". These 10 questions have been designed by the experts with the latest curriculum of CUET Commerce 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Basic Practice: Boats And Streams - 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: 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.

Basic Practice: Boats And Streams - 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: 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.

Basic Practice: Boats And Streams - 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: Question 3

Basic Practice: Boats And Streams - 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: 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.

Basic Practice: Boats And Streams - 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: Question 5

Rate downstream = 

Rate upstream = 2 km/hr.

Speed in still water = 

 Required time = 

Basic Practice: Boats And Streams - 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: 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

Basic Practice: Boats And Streams - 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: Question 7

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

Distance travelled = 26 x 24/60

Distance travelled = 10.4 km

Basic Practice: Boats And Streams - 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: 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.

Basic Practice: Boats And Streams - 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: Question 9

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

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

= 2 hours 

Basic Practice: Boats And Streams - Question 10

A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?

Detailed Solution: Question 10

Down speed =20/24*60 = 50km/hr
4:1 = 4x:x
Downstream speed = 4x+x = 5x
Upstream speed = 4x-x=3x 5x = 50; x =10
So upstream speed = 3*10 = 30
Time = 15/30*60 = 30 mins

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