Home
Class 14
MATHS
The speed of a boat in still water is 2 ...

The speed of a boat in still water is 2 km/hr. If its speed upstream be 1 km/hr, then speed of the stream is -----

A

1.5 km/hr

B

3 km/hr

C

1 km/hr

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To find the speed of the stream, we can use the relationship between the speed of the boat in still water, the speed of the boat upstream, and the speed of the stream. ### Given: - Speed of the boat in still water (B) = 2 km/hr - Speed of the boat upstream (U) = 1 km/hr ### Step 1: Understanding the relationship The speed of the boat upstream is affected by the speed of the stream. The formula to calculate the speed of the boat upstream is: \[ U = B - S \] where: - \( U \) = speed of the boat upstream - \( B \) = speed of the boat in still water - \( S \) = speed of the stream ### Step 2: Substitute the known values We can substitute the known values into the equation: \[ 1 = 2 - S \] ### Step 3: Solve for the speed of the stream (S) Rearranging the equation to solve for \( S \): \[ S = 2 - 1 \] \[ S = 1 \text{ km/hr} \] ### Conclusion The speed of the stream is **1 km/hr**. ---
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BANKER'S DISCOUNT

    UPKAR PUBLICATION |Exercise QUESTION BANK |50 Videos
  • CALENDAR

    UPKAR PUBLICATION |Exercise QUESTION BANK|17 Videos

Similar Questions

Explore conceptually related problems

If the speed of a boat in still water is u km/h and the speed of the stream is v km/h , then the speed of the boat upstream is ____km/h

If the speed of a boat in still water is 8 km/h and the rate of stream is 4 km/h, then find upstream speed of the boat.

Knowledge Check

  • The speed of a boat in still water is 10 km/hr. If its speed downstream be 13 km/hr, then speed of the stream is -----

    A
    1.5 km/hr
    B
    3 km/hr
    C
    11.5 km/hr
    D
    5.75 km/hr
  • The speed of a boat in still water is 14 km/h and the speed of stream is 3 km/h. Find the upstream speed.

    A
    12 kmph
    B
    13 kmph
    C
    11 kmph
    D
    14 kmph
  • The speed of a boatin still water is 9 km/hr and the speed of stream is 3 km/hr. The difference between the upstream speed and downstream speed will be:

    A
    6 km/hr
    B
    5 km/hr
    C
    3.5 km/hr
    D
    7.5 km/hr
  • Similar Questions

    Explore conceptually related problems

    A boat goes 30km upstream and 44km down stream in 10 hours. In 13 hours, it can go 40km upstream and 55km downstream. If the speed of the boat in still water be x km/h and speed of the stream be y km/h. Then. Write the speed of the boat towards downstream.

    The speed of a boat downstream is 15 km/hr and the speed of the stream is 1.5 km/hr. The speed of the boat upstream is -----

    The speed of a boat downstream is 15 km/hr and the speed of the stream is 1.5 km/hr. The speed of the boat upstream is -----

    The speed of a boat in still water is 4 km/hr and the speed of current is 2 km/hr. If the time taken to reach a certain distance upstream is 9 hours, find the time it will take to go to same distance downstream -----

    When the speed of a boat in still water is 4 km/h and the rate of stream is 2 km/h, find upstream speed of the boat