Multiple Choice Questions on A boat takes 4 hours to cover 39 D 39 km upstream and takes 3 hours to cover 39 D 2 39 km downstream........... for IBPS RRB - Officers Exam Preparation

Boats and Streams

Quantitative Aptitude(IBPS RRB PO)

Title

45:30

Video Progress

8 of 24 completed

Notes Progress

5 of 15 completed

MCQs Progress

38 of 100 completed

Subjective Progress

8 of 20 completed

Continue to Next Topic

Indian Economy - Understanding the basics of Indian economic system

Next Topic

    A boat takes 4 hours to cover 'D' km upstream and takes 3 hours to cover 'D - 2' km downstream. If the speed of the stream is 2 km/hr then find the distance covered by the boat in upstream in 3 hours. 

    This questions was previously asked in
    RRB PO Prelims (05 Aug, 2023 Shift 2)

    42 km 

    Correct Answer

    45 km 

    Incorrect Answer

    48 km 

    Incorrect Answer

    51 km 

    Incorrect Answer

    56 km

    Incorrect Answer
    Explanation:

    - The boat takes 4 hours to cover distance D km upstream.

    - The boat takes 3 hours to cover distance D - 2 km downstream.

    - The speed of the stream is 2 km/hr.

    Let's calculate:

    - Upstream speed = boat speed - stream speed.

    - Downstream speed = boat speed + stream speed.

    From the upstream trip:

    \[ D = (boat\_speed - 2) \times 4 \]

    From the downstream trip:

    \[ D - 2 = (boat\_speed + 2) \times 3 \]

    Solve these two equations to find the boat's speed, then determine the distance covered upstream in 3 hours:

    - Let x be the boat speed.

    - Equation 1: \( D = (x - 2) \times 4 \) (1)

    - Equation 2: \( D - 2 = (x + 2) \times 3 \) (2)

    From equation 1:

    \[ x - 2 = \frac{D}{4} \]

    So, \( D = 4(x - 2) \).

    Substituting D from equation 1 in equation 2:

    \[ 4(x - 2) - 2 = 3(x + 2) \]

    Expand and solve:

    \[ 4x - 8 - 2 = 3x + 6 \]

    \[ 4x - 10 = 3x + 6 \]

    \[ x = 16 \]

    Speed of the boat = 16 km/hr.

    Now, upstream speed = 16 - 2 = 14 km/hr.

    Distance covered upstream in 3 hours:

    \[ 3 \times 14 = 42 \]

    So, the correct option is: Option 1 - 42 km

    .


    ProfileResources

    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free