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  • Question
  • A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?


  • Options
  • A. 180 km
  • B. 160 km
  • C. 140 km
  • D. 120 km

  • Correct Answer
  • 180 km 

    Explanation

    Speed in downstream = (14 + 4) km/hr = 18 km/hr;

    Speed in upstream = (14 ? 4) km/hr = 10 km/hr.

    Let the distance between A and B be x km. Then,

    x/18 + (x/2)/10 = 19 ? x/18 + x/20 = 19 ? x = 180 km.

  • Tags: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO

    Boats and Streams problems


    Search Results


    • 1. A man can row 9 km/h in still water. It takes him twice as long as to row down. Find the rate of stream of the river?

    • Options
    • A. 3 1⁄3 Kmph
    • B. 3 1⁄9Kmph
    • C. 4 2⁄3 Kmph
    • D. 4 1⁄3 Kmph
    • Discuss
    • 2. A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:

    • Options
    • A. 1.8h
    • B. 3h
    • C. 4h
    • D. 5h
    • Discuss
    • 3. The B.D. and T.D. on a certain sum is Rs.200 and Rs.100 respectively. Find out the sum.

    • Options
    • A. Rs. 400
    • B. Rs. 300
    • C. Rs. 100
    • D. Rs. 200
    • Discuss
    • 4. What is the present worth of a bill of Rs.1764 due 2 years hence at 5% compound interest is

    • Options
    • A. Rs. 1600
    • B. Rs. 1200
    • C. Rs. 1800
    • D. Rs. 1400
    • Discuss
    • 5. The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:

    • Options
    • A. Rs. 21
    • B. Rs. 17
    • C. Rs. 18
    • D. Rs. 34
    • Discuss
    • 6. A man went downstream for 28 km in a motor boat and immediately returned. It took the man twice as long to make the return trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow.

    • Options
    • A. 12 km/hr, 3 km/hr
    • B. 9 km/hr, 3 km/hr
    • C. 8 km/hr, 2 km/hr
    • D. 9 km/hr, 6 km/hr
    • Discuss
    • 7. A motor boat takes 12 hours to go downstream and it takes 24 hours to return the same distance. what is the time taken by boat in still water?

    • Options
    • A. 15 h
    • B. 16 h
    • C. 8 h
    • D. 20 h
    • Discuss
    • 8. The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ?

    • Options
    • A. 8 kmph
    • B. 6 kmph
    • C. 7.5 kmph
    • D. 5.5 kmph
    • Discuss
    • 9. 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
    • 10. 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


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