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A boat takes six hours to travel a certain distance downstream and
five hours to travel a certain distance upstream. The distance traveled
upstream is half of the travelled downstream. If the speed of the
current is 4 km/hr., what is the speed of the boat in still water?
Most Upvoted Answer
A boat takes six hours to travel a certain distance downstream and fiv...
Solution:


  1. Given data:
    • Time taken downstream = 6 hours
    • Time taken upstream = 5 hours
    • Speed of current = 4 km/hr




  2. Let's assume:
    • Speed of boat in still water = x km/hr
    • Distance traveled downstream = D km
    • Distance traveled upstream = D/2 km




  3. Calculating speed:
    • Speed downstream = (x + 4) km/hr
    • Speed upstream = (x - 4) km/hr




  4. Using the formula:
    • Time = Distance / Speed




  5. Equations:
    • 6 = D / (x + 4)
    • 5 = D/2 / (x - 4)




  6. Solving equations:
    • From the first equation, D = 6(x + 4)
    • Substitute D in the second equation: 5 = (6(x + 4))/2(x - 4)
    • Solve for x, we get x = 16 km/hr




  7. Therefore, the speed of the boat in still water is 16 km/hr.

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A boat takes six hours to travel a certain distance downstream and five hours to travel a certain distance upstream. The distance traveled upstream is half of the travelled downstream. If the speed of the current is 4 km/hr., what is the speed of the boat in still water?
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A boat takes six hours to travel a certain distance downstream and five hours to travel a certain distance upstream. The distance traveled upstream is half of the travelled downstream. If the speed of the current is 4 km/hr., what is the speed of the boat in still water? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A boat takes six hours to travel a certain distance downstream and five hours to travel a certain distance upstream. The distance traveled upstream is half of the travelled downstream. If the speed of the current is 4 km/hr., what is the speed of the boat in still water? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat takes six hours to travel a certain distance downstream and five hours to travel a certain distance upstream. The distance traveled upstream is half of the travelled downstream. If the speed of the current is 4 km/hr., what is the speed of the boat in still water?.
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