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  • Question
  • A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?


  • Options
  • A. 1 : 3
  • B. 3 : 2
  • C. 2 : 3
  • D. 3 : 1

  • Correct Answer
  • 1 : 3 

    Explanation

    Let the speed of the boat in still water is 'w'

    Speed of the current is 'c'

    Let the distance between two places is 'd'

    According to the question, motorboat takes half time to cover a certain distance downstream than upstream.

    d w + c   =   1 2 d w - c

    => 2w - 2c = w + c

    => w = 3c

    => c : w = 1 : 3

     

    Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3

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    Boats and Streams problems


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    • 1. A boat can move 5 km/hr in still water. If the river is running at 1 km/hr, it takes it 75 min to move to a place and back. How far is the place?

    • Options
    • A. 3 kms
    • B. 5 kms
    • C. 6 kms
    • D. 4 kms
    • Discuss
    • 2. A Woman?s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream?

    • Options
    • A. 72 km
    • B. 36 km
    • C. 56 km
    • D. 42 km
    • Discuss
    • 3. Sravan drove from home to a neighboring town at the speed of 50 km/h and on his returning journey, he drove at the speed of 45 km/h and also took an hour longer to reach home. What distance did he cover?

    • Options
    • A. 350 kms
    • B. 450 kms
    • C. 900 kms
    • D. 700 kms
    • Discuss
    • 4. A motorboat 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 motorboat and speed of the water current respectively?

    • Options
    • A. 3:7
    • B. 7:9
    • C. 5:4
    • D. 8:3
    • Discuss
    • 5. Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ?

    • Options
    • A. 4 hrs 10 min
    • B. 3 hrs 15 min
    • C. 3 hrs 30 min
    • D. 4 hrs 1 min
    • Discuss
    • 6. A man can row upstream at 16 km/hr and downstream at 24 km/hr. Find the speed of the current.

    • Options
    • A. 4 kmph
    • B. 6 kmph
    • C. 5 kmph
    • D. 3 kmph
    • Discuss
    • 7. A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current?

    • Options
    • A. 4 kmph
    • B. 6 kmph
    • C. 3 kmph
    • D. 2 kmph
    • Discuss
    • 8. A boat while travelling upstream covers a distance of 29 km at the speed of 6 km/h, whereas while travelling downstream it covers the same distance at a speed of 12 km/h. What is the speed of the boat in still water?

    • Options
    • A. 6 kmph
    • B. 8 kmph
    • C. 9 kmph
    • D. 11 kmph
    • Discuss
    • 9. If the boat goes 7 kms upstream in 42 min and speed of the stream is 3 kmph, then the speed of the boat in still water ?

    • Options
    • A. 14 kmph
    • B. 13 kmph
    • C. 12 kmph
    • D. 11 kmph
    • Discuss
    • 10. A boat goes 4 km upstream and 4 km downstream in 1 hour. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of oat in still water?

    • Options
    • A. 6.5
    • B. 7.75
    • C. 9
    • D. 10.5
    • Discuss


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