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A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4hours to cover the same distance running downstream. What is the ratio between the speed of theboat and speed of the water current respectively?
  • a)
    5 : 6
  • b)
    6 : 5
  • c)
    8 : 3
  • d)
    3 : 8
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A boat running upstream takes 8 hours 48 minutes to cover a certain di...
Option C
Explanation :Let the rate upstream of the boat = x kmphand the rate downstream of the boat = y kmph
Distance travelled upstream in 8 hrs 48 min = Distance travelled downstream in 4 hrs.Since distance = speed × time, we havex×(8*4/5)=y×4x×(44/5)=y×4x×(11/5)=y‐‐‐ (equation 1)
Now consider the formula given belowLet the speed downstream be a km/hr and the speed upstream be b km/hr, thenSpeed in still water =1/2(a+b) km/hr
Rate of stream =1/2(a−b) km/hrHence, speed of the boat = (y+x)/2speed of the water = (y−x)/2Required Ratio = (y+x)/2:(y−x)/2=(y+x):(y−x)=(11x/5+x):(11x/5−x)(Substituted the value of y from equation 1)= (11x+5x):(11x−5x)=16x:6x=8:3
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A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4hours to cover the same distance running downstream. What is the ratio between the speed of theboat and speed of the water current respectively?a)5 : 6b)6 : 5c)8 : 3d)3 : 8Correct answer is option 'C'. Can you explain this answer?
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A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4hours to cover the same distance running downstream. What is the ratio between the speed of theboat and speed of the water current respectively?a)5 : 6b)6 : 5c)8 : 3d)3 : 8Correct answer is option 'C'. Can you explain this answer? 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 running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4hours to cover the same distance running downstream. What is the ratio between the speed of theboat and speed of the water current respectively?a)5 : 6b)6 : 5c)8 : 3d)3 : 8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4hours to cover the same distance running downstream. What is the ratio between the speed of theboat and speed of the water current respectively?a)5 : 6b)6 : 5c)8 : 3d)3 : 8Correct answer is option 'C'. Can you explain this answer?.
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