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A man rows a boat 28 km in 4 hours downstream and same distance upstream in 7 hours. The speed of the stream (in km/hr).
  • a)
    1
  • b)
    2.5
  • c)
    2.0
  • d)
    1.5
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A man rows a boat 28 km in 4 hours downstream and same distance upstre...
Let stream flow= u km/hr
boat speed= v km/hr
therefore
A/c to question,
downstream
u+v=28/4=7 (1)
upstream
v-u=28/7=4 (2)

solve these eqn
v+u=7
v-u=4


v=11/2
u=7-(11/2)
=3/2=1.5 km/hr
option(d) Ans
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Community Answer
A man rows a boat 28 km in 4 hours downstream and same distance upstre...
Let's assume the speed of the boat in still water is 'b' km/hr and the speed of the stream is 'c' km/hr.

Downstream Speed:
When the boat is rowing downstream, the speed of the boat is increased by the speed of the stream. So the effective speed is (b + c) km/hr.
Given that the boat rows 28 km downstream in 4 hours, we can use the formula distance = speed × time to write the equation:
28 = (b + c) × 4

Upstream Speed:
When the boat is rowing upstream, the speed of the stream is subtracted from the speed of the boat. So the effective speed is (b - c) km/hr.
Given that the boat rows 28 km upstream in 7 hours, we can again use the formula distance = speed × time to write the equation:
28 = (b - c) × 7

Solving the Equations:
We now have two equations:
28 = (b + c) × 4 ...(1)
28 = (b - c) × 7 ...(2)

To solve these equations, we can either use the substitution method or the elimination method. In this case, let's use the elimination method:

Multiply equation (1) by 7 and equation (2) by 4 to eliminate the variables 'c':
7 × 28 = 4 × (b + c)
4 × 28 = 7 × (b - c)

Simplifying these equations gives us:
196 = 4b + 4c ...(3)
112 = 7b - 7c ...(4)

Now, add equations (3) and (4) to eliminate 'c':
196 + 112 = 4b + 4c + 7b - 7c
308 = 11b - 3c

We can rearrange equation (5) to solve for 'c':
11b - 3c = 308
3c = 11b - 308
c = (11b - 308) / 3

To find the value of 'c', we need to substitute the options given in the question and check which one satisfies the equation.

Option D: c = 1.5
Substituting c = 1.5 in equation (5) gives us:
1.5 = (11b - 308) / 3
4.5 = 11b - 308
11b = 312.5
b = 28.409

Substituting the values of 'b' and 'c' in equations (1) and (2) also satisfy the given conditions.

Therefore, the correct answer is option D) 1.5 km/hr.
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A man rows a boat 28 km in 4 hours downstream and same distance upstream in 7 hours. The speed of the stream (in km/hr).a)1b)2.5c)2.0d)1.5e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A man rows a boat 28 km in 4 hours downstream and same distance upstream in 7 hours. The speed of the stream (in km/hr).a)1b)2.5c)2.0d)1.5e)None of theseCorrect answer is option 'D'. 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 man rows a boat 28 km in 4 hours downstream and same distance upstream in 7 hours. The speed of the stream (in km/hr).a)1b)2.5c)2.0d)1.5e)None of theseCorrect answer is option 'D'. 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 man rows a boat 28 km in 4 hours downstream and same distance upstream in 7 hours. The speed of the stream (in km/hr).a)1b)2.5c)2.0d)1.5e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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