Description

This mock test of Test: Boats And Streams- 2 for Banking Exams helps you for every Banking Exams entrance exam.
This contains 10 Multiple Choice Questions for Banking Exams Test: Boats And Streams- 2 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Boats And Streams- 2 quiz give you a good mix of easy questions and tough questions. Banking Exams
students definitely take this Test: Boats And Streams- 2 exercise for a better result in the exam. You can find other Test: Boats And Streams- 2 extra questions,
long questions & short questions for Banking Exams on EduRev as well by searching above.

QUESTION: 1

A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in kmph) of the man in still water is:

Solution:

We can write three - quarters of a kilometer as 750 meters and 11 1/4

minutes as 675 seconds

Rate upstream = 750/675m/sec = 10/9m/sec

Rate downstream = 750/450m/sec =53m/sec

∴ Rate instill water = 1/2(10/9 + 5/3)m/sec

= 25/18 m/sec

= (25/18 × 18/5) km/hr

= 5km/hr

QUESTION: 2

Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?

Solution:

As per statement, Tap A can fill the tank completely in 6 hrs

Thus, Tap A can fill the tank in 1 hour = 1/6th part

As per statement, Tap B can empty it by 12 hrs

Thus Tap B in can empty the tank = 1/12 part

Therefore both tap A and B can fill the tank in one hour = 1/6 - 1/12 = 1/12 part

A person forgot to close the tap B, and both the taps, remained open. After 4 hrs, the person immediately closed the tap B.

Thus in four hours status of tank will be

= 4 hrs × 1/12 = 1/3 part full

Remaining empty part of tank = 1 - 1/3 = 2/3 part

Now only Tap A remain open and it is filling the tank

As per above Tap A fills 1/6th part of tank in 1 hour

Therefore it could fill remaining 2/3 part of the tank in

= 1 /1/6 × 2/3

= 2/3 ÷ 1/6

Using KCF ( Keep - change - Flip)

= 2/3 × 6/1

= 12/3

= 4 hours

Tap A will fill the remaining part of tank in 4 hours

QUESTION: 3

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

Solution:

distance = t (x^{2} - y^{2}) / 2y

where t is no of hours extra taken upstream

x = speed of boat in still water

y = speed of stream

36 = 1.5 ( 10^{2} - y^{2}) /2y

24 = (100- y^{2}) /2y

y^{2} +48y -100 = 0

(y+50) ( y-2) =0

y = 2 mph

QUESTION: 4

A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still water

Solution:

Let the speed of the water in still water = x

Given that speed of the stream = 3 kmph

Speed downstream = (x+3) kmph

Speed upstream = (x-3) kmph

He travels a certain distance downstream in 4 hour and come back in 6 hour.

ie, distance travelled downstream in 4 hour = distance travelled upstream in 6 hour

since distance = speed × time, we have

(x+3)4=(x−3)6

⇒ (x + 3)2 = (x - 3)3

⇒ 2x + 6 = 3x - 9

⇒ x = 6+9 = 15 kmph

QUESTION: 5

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

Solution:

Let the distance is x km

Rate downstream = 5 + 1 = 6 kmph

Rate upstream = 5 - 1 = 4 kmph

then

x/6 + x/4 = 1 [because distance/speed = time]

⇒ 2x + 3x = 12

⇒ x = 12/5

= 2.4 km

QUESTION: 6

Two pipes A and B can fill a tank in 10 hrs and 40 hrs respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?

Solution:

Pipe A can fill 1/10 of the tank in 1 hr

Pipe B can fill 1/40 of the tank in 1 hr

Pipe A and B together can fill 1/10 + 1/40 = 1/8 of the tank in 1 hr

i.e., Pipe A and B together can fill the tank in 8 hours

QUESTION: 7

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:

Solution:

Let man's rate upstream be x kmph.

Then, his rate downstream = 2x kmph

∴ (Speed in still water) : (Speed of stream) = (2x+x)/2 : (2x-x)/2

⇒ 3x/2 : x/2

⇒ 3 : 1

QUESTION: 8

A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?

Solution:

Pipe A can fill 1/8 of the cistern in 1 hour.

Pipe B can empty 1/12 of the cistern in 1 hour

Both Pipe A and B together can effectively fill 1/8 − 1/12 = 1/24

of the cistern in 1 hour

i.e, the cistern will be full in 24 hrs.

QUESTION: 9

A boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. What is the speed of the boat in still water?

Solution:

Speed downstream = 22/4 = 5.5kmph

Speed upstream = 22/5 = 4.4kmph

Speed of boat in still water = (5.5 + 4.4)/2

= 4.95kmph

QUESTION: 10

In a river flowing at 2 km/hr, a boat travels 32 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.

Solution:

speed of the boat = 6 km/hr

Speed downstream = (6+2) = 8 km/hr

Speed upstream = (6-2) = 4 km/hr

Distance travelled downstream = Distance travelled upstream = 32 km

Total time taken = Time taken downstream + Time taken upstream

= 32/8 + 32/4

= 32/8 + 64/8

= 96/8

= 12 hr

### Boats And Streams

Doc | 3 Pages

### Boats and Streams – Tips Tricks and Questions

Doc | 5 Pages

### Boats and Streams - Concepts and Tricks

Video | 05:39 min

- Test: Boats And Streams- 2
Test | 10 questions | 10 min

- Test: Boats And Streams
Test | 10 questions | 10 min

- Test: Boats And Streams- 1
Test | 10 questions | 10 min

- Boats And Streams
Test | 20 questions | 40 min

- Boats And Stream - MCQ 1
Test | 10 questions | 20 min