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  • Question
  • 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?


  • Options
  • A. 7:4
  • B. 11:4
  • C. 4:7
  • D. 8:3

  • Correct Answer
  • 8:3 

    Explanation

    Let the speed of the boat upstream be p kmph and that of downstream be q kmph

     

    Time for upstream = 8 hrs 48 min =  8 4 5 hrs

     

    Time for downstream = 4 hrs

     

    Distance in both the cases is same.

     

    => p x   8 4 5 = q x 4

     

    => 44p/5 = 4q

     

    => q = 11p/5

     

     Now, the required ratio of Speed of boat : Speed of water current

     

    q + p 2 : q - p 2

     

    => (11p/5 + p)/2  : (11p/5 - p)/2

     

    => 8 : 3

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    Boats and Streams problems


    Search Results


    • 1. A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ?

    • Options
    • A. 4.58 kms
    • B. 6.35 kms
    • C. 5.76 kms
    • D. 5.24 kms
    • Discuss
    • 2. A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ?

    • Options
    • A. 1/3 kmph
    • B. 2/3 kmph
    • C. 1/4 kmph
    • D. 1/2 kmph
    • Discuss
    • 3. A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ?

    • Options
    • A. 5 kmph
    • B. 10 kmph
    • C. 15 kmph
    • D. 45 kmph
    • Discuss
    • 4. A man goes down stream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the strean are 10km/hr and 14km/hr respectively, the distance of the destination from the string place is

    • Options
    • A. 16 km
    • B. 18 km
    • C. 21 km
    • D. 25 km
    • Discuss
    • 5. A boy can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is ?

    • Options
    • A. 1.8 kmph
    • B. 2 kmph
    • C. 2.2 kmph
    • D. 1.5 kmph
    • Discuss
    • 6. A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

    • Options
    • A. 1 kmph
    • B. 3 kmph
    • C. 5 kmph
    • D. 4 kmph
    • Discuss
    • 7. A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by

    • Options
    • A. 54 kms
    • B. 32 kms
    • C. 45 kms
    • D. 60 kms
    • Discuss
    • 8. A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ?

    • Options
    • A. 8 m/h
    • B. 5 m/h
    • C. 7 m/h
    • D. 6 m/h
    • Discuss
    • 9. In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

    • Options
    • A. 9
    • B. 8
    • C. 7
    • D. 7.5
    • Discuss
    • 10. If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 126 km downstream.

    • Options
    • A. 2.8 hrs
    • B. 2.7 hrs
    • C. 2.6 hrs
    • D. 2.5 hrs
    • Discuss


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