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A boat running upstream takes 9 hours 48 minutes to cover a certain distance, while it takes 7 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?
  • a)
    5:2
  • b)
    7:4
  • c)
    6:1
  • d)
    8:3
  • e)
    2:5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A boat running upstream takes 9 hours 48 minutes to cover a certain di...
Distance covered upstream in 9hrs 48 min = Distance covered downstream in 7hrs
(X-Y) 49/5 = (X+Y)7
X/y = 1/6
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Most Upvoted Answer
A boat running upstream takes 9 hours 48 minutes to cover a certain di...
Given:
Time taken to cover a certain distance upstream = 9 hours 48 minutes
Time taken to cover the same distance downstream = 7 hours

To find:
Ratio between the speed of the boat and speed of the water current respectively

Solution:
Let the speed of the boat be x km/hr and the speed of the water current be y km/hr.

Speed of the boat upstream = (x - y) km/hr
Speed of the boat downstream = (x + y) km/hr

Let the distance covered be d km.

From the given data,
Time taken to cover the distance upstream = 9 hours 48 minutes = 9 4/5 hours = 49/5 hours
Time taken to cover the distance downstream = 7 hours

Using the formula, Speed = Distance/Time, we can write the following equations:

(x - y) = d/(49/5)
(x + y) = d/7

Simplifying the above equations, we get:

5(x - y) = d/9
7(x + y) = d

Multiplying the first equation by 7 and the second equation by 5, we get:

35(x - y) = 5d/9
35(x + y) = 5d

Adding the above equations, we get:

70x = 50d/9

x = (5/9)d

Substituting x in the first equation, we get:

5d/9 - y = d/49

y = (20/441)d

Therefore, the ratio between the speed of the boat and speed of the water current is:

x:y = (5/9)d : (20/441)d = 245:20

Simplifying the ratio, we get:

x:y = 49:4

Hence, the correct answer is option C) 6:1.
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A boat running upstream takes 9 hours 48 minutes to cover a certain distance, while it takes 7 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?a)5:2b)7:4c)6:1d)8:3e)2:5Correct answer is option 'C'. Can you explain this answer?
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A boat running upstream takes 9 hours 48 minutes to cover a certain distance, while it takes 7 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?a)5:2b)7:4c)6:1d)8:3e)2:5Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A boat running upstream takes 9 hours 48 minutes to cover a certain distance, while it takes 7 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?a)5:2b)7:4c)6:1d)8:3e)2:5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat running upstream takes 9 hours 48 minutes to cover a certain distance, while it takes 7 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?a)5:2b)7:4c)6:1d)8:3e)2:5Correct answer is option 'C'. Can you explain this answer?.
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