All questions of Boats and Stream for Bank Exams Exam

Given ratio of distance = 2:1, let the distance between A and C =2X km and B To C = X km respectively. total dis. travelled A to B= 3X km downstream speed =(9+3)=12 km/hr. upstream Speed =(9-3)= 6km/hr; so, time taken to travel from A to B= 3X/12 hrs. similarly between B to C =X/6 hrs. Total time taken =(3X/12+X/6)= 5X/12 hrs. equating 5X/12= 10, we get X=24 kms. so, the distance between A to B= 3X=(3*24)= 72 kms. op(c)

Speed of stream = 3km/hr
Distance = 48km
consider T1=time during downstream
T2=time during upstream

Condition given: T2-T1=128minutes = 128/60 hours
To find : SPEED OF BOAT IN STILL WATER (let's assume u)

Solution :- T2= 48/(u-3)
T1=48/(u+3)
using: T2-T1= 128/60
48/(u-3) - 48/(u+3)= 128/60
After taking LCM we get
288/(u²-9) =128/60
u²-9=(288×60)/128
u²-9= 15×9
u²= 135+9
u²= 144
u=12km/hr

so option C is the correct answer

Given information:
- Speed of the boat downstream = 32 kmph
- Speed of the boat upstream = 28 kmph

To find:
- Speed of the boat in still water

Assumption:
- Let the speed of the boat in still water be x kmph
- Let the speed of the current be y kmph

Explanation:
When the boat is traveling downstream, it gets the additional speed of the current. So, the effective speed is the sum of the speed of the boat in still water and the speed of the current.
- Speed downstream = (Speed of the boat in still water) + (Speed of the current)
- 32 = x + y

When the boat is traveling upstream, it has to overcome the speed of the current, which reduces its effective speed.
- Speed upstream = (Speed of the boat in still water) - (Speed of the current)
- 28 = x - y

Solving the equations:
We have two equations with two variables. By solving these equations simultaneously, we can find the values of x and y.

Adding the two equations:
(32 + 28) = (x + y) + (x - y)
60 = 2x
x = 60/2
x = 30

So, the speed of the boat in still water is 30 kmph. Therefore, the correct answer is option D) 32 kmph.

Given:
The ratio of speed of A and B in still water is 3 : 2.

Approach:
To solve this problem, we need to understand the relative speeds of A and B when they are rowing in opposite directions. Let's assume the speed of A in still water is 3x and the speed of B in still water is 2x.

When A is rowing upstream:
The effective speed of A = (Speed of A in still water) - (Speed of stream)
= 3x - x = 2x

When B is rowing downstream:
The effective speed of B = (Speed of B in still water) + (Speed of stream)
= 2x + x = 3x

After 3 hours, the stream stops flowing. At this point, A starts rowing in the opposite direction to meet B.

When A is rowing downstream:
The effective speed of A = (Speed of A in still water) + (Speed of stream)
= 3x + x = 4x

Now, let's calculate the time it takes for A and B to meet.

Calculation:
Let's assume they meet after t hours.

Distance travelled by A = Speed of A * Time taken = 4x * t
Distance travelled by B = Speed of B * Time taken = 3x * t

Since they start from the same point and meet, the distances travelled by A and B must be equal.
Therefore, 4x * t = 3x * t

Simplifying the equation, we get:
4x * t - 3x * t = 0
x * t = 0

Since x is a non-zero value, t must be 0.

Therefore, A and B meet immediately after the stream stops flowing.

Answer:
The time after the stream stops flowing when A meets B is 0 hours.

Explanation:
Option B is the correct answer because A and B meet immediately after the stream stops flowing.

Given:
Speed of the boat in still water = 25 km/hr
Speed of the stream = 5 km/hr
Time taken to go to a place and come back = 15 hours

To find:
The distance of the place.

Formula:
Speed = Distance / Time

Approach:
Let's assume the distance of the place as 'd' km.

When the boat is moving upstream (against the stream), the effective speed is reduced by the speed of the stream.
So, the speed of the boat while moving upstream = (Speed of the boat in still water) - (Speed of the stream) = 25 - 5 = 20 km/hr.

When the boat is moving downstream (with the stream), the effective speed is increased by the speed of the stream.
So, the speed of the boat while moving downstream = (Speed of the boat in still water) + (Speed of the stream) = 25 + 5 = 30 km/hr.

Let's consider the time taken to go from the starting point to the place as 't1' hours.
Then, the time taken to return from the place to the starting point will be (15 - t1) hours.

Using the formula Speed = Distance / Time, we can write the following equations:

For the upstream journey:
20 = d / t1

For the downstream journey:
30 = d / (15 - t1)

Solving the above two equations will give us the value of 'd', which represents the distance of the place.

Calculation:
From the first equation, we can write:
d = 20 * t1

Substituting this value in the second equation, we get:
30 = (20 * t1) / (15 - t1)

Cross-multiplying and simplifying the equation, we get:
600 - 30t1 = 20t1
600 = 50t1
t1 = 12

Substituting the value of t1 in the equation d = 20 * t1, we get:
d = 20 * 12
d = 240 km

Therefore, the distance of the place is 240 km.

Hence, the correct answer is option A) 180 km.

Analysis:
To solve the problem, we can use the formula:
Speed of boat in still water (B) = 1/2 (Speed downstream + Speed upstream)
Let the speed of the stream be 'S' km/hr.
Given,
Speed of boat in still water (B) = 10 km/hr
Time taken for forward journey (A to B) = Time taken for backward journey (B to A)
Let the distance between A and B be 'D' km.
Let the speed downstream be 'B + S' km/hr and speed upstream be 'B - S' km/hr.
Let the time taken for the forward journey be 't' hrs.
Then,
Time taken for backward journey = t hrs
Distance covered in the forward journey = Distance covered in backward journey = D km
Speed downstream = Distance/Time = D/t km/hr
Speed upstream = Distance/Time = D/t km/hr
Speed downstream = B + S km/hr
Speed upstream = B - S km/hr

Calculation:
Using the formula,
B = 1/2 (B + S + B - S)
10 = 1/2 (2B)
B = 5 km/hr

Substituting B = 5 km/hr in the equations,
D/t = (10 + S) km/hr
D/t = (10 - S) km/hr

Dividing both the equations,
(10 + S)/(10 - S) = 1
10 + S = 10 - S
2S = 0
S = 0

Conclusion:
The speed of the stream cannot be determined as the solution leads to 'S = 0'. This implies that the boat travels in still water and there is no current or stream. Therefore, the answer is option 'E'.

Efficient management always satisfying its employees is a common view, but which point of features of management does it fall under? The answer is option 'C', which is the continuous process.

Continuous Process in Management:

Continuous process refers to the fact that management is not a one-time activity; rather, it is an ongoing process that requires constant monitoring, evaluating, and modifying. This means that efficient management is not just about satisfying employees once, but it is a continuous effort to keep them motivated, engaged, and satisfied.

The following are some of the reasons why management is a continuous process:

1. Changing Environment: The business environment is constantly changing, and management needs to adapt to these changes to stay relevant. This requires ongoing monitoring and evaluation of the business environment and making necessary adjustments to management practices.

2. Employee Needs: Employees' needs and expectations are constantly changing, and management needs to keep up with these changes to satisfy them. This requires ongoing communication with employees to understand their needs and expectations and making necessary adjustments to management practices.

3. Technology Advancements: Technology is constantly evolving, and management needs to adopt new technologies to stay competitive. This requires ongoing training and development of employees to keep up with the latest technologies.

4. Performance Evaluation: Management needs to evaluate employees' performance regularly to identify areas for improvement and provide feedback. This requires ongoing monitoring of employees' performance and providing necessary support and resources to improve their performance.

In conclusion, efficient management is a continuous process that requires ongoing monitoring, evaluating, and modifying to satisfy employees' needs and expectations. Management needs to adapt to the changing business environment, employee needs, technology advancements, and evaluate employees' performance regularly to improve and maintain their satisfaction.