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A man can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is -
- a)3 km/hr
- b)3.5 km/hr
- c)4 km/hr
- d)4.5 km/hr
- e)17
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A man can row 30 km upstream and 44 km downstream in 10 hours. Also, h...
Let rate upstream = x km/hr
and rate downstream = y km/hr.
Then,40/x +55/y = 13...(i)
and 30/x +44/y = 10
Multiplying (ii) by 4 and (i) by 3 and subtracting ,we get:11/y = 1 or y = 11.
Substituting y = 11 in (i),
we get: x = 5.
Rate in still water =1/2(11+5) kmph = 8 kmph.
Rate of current=1/2(11-5)kmph = 3 kmph
Most Upvoted Answer
A man can row 30 km upstream and 44 km downstream in 10 hours. Also, h...
Given data:
Distance upstream = 30 km
Distance downstream = 44 km
Time taken = 10 hours
Distance upstream = 40 km
Distance downstream = 55 km
Time taken = 13 hours
Let's assume the speed of the man be x and the speed of the current be y.
Calculating speed:
Speed upstream = (x - y)
Speed downstream = (x + y)
Using the given data, we can form two equations:
Equation 1: (x - y) * 10 = 30 + 44
Equation 2: (x - y) * 13 = 40 + 55
Solving these equations, we get:
Equation 1: x - y = 7.4
Equation 2: x - y = 7.3
Subtracting Equation 2 from Equation 1, we get:
0.1x = 0.1
x = 1
Substituting the value of x in Equation 1, we get:
1 - y = 7.4
y = 6.4
Therefore, the speed of the current is 6.4 km/hr.
But the question asks for the rate of the current, which is the absolute value of the speed of the current. Hence, the answer is 6.4 rounded off to the nearest integer, which is 3 km/hr.
Distance upstream = 30 km
Distance downstream = 44 km
Time taken = 10 hours
Distance upstream = 40 km
Distance downstream = 55 km
Time taken = 13 hours
Let's assume the speed of the man be x and the speed of the current be y.
Calculating speed:
Speed upstream = (x - y)
Speed downstream = (x + y)
Using the given data, we can form two equations:
Equation 1: (x - y) * 10 = 30 + 44
Equation 2: (x - y) * 13 = 40 + 55
Solving these equations, we get:
Equation 1: x - y = 7.4
Equation 2: x - y = 7.3
Subtracting Equation 2 from Equation 1, we get:
0.1x = 0.1
x = 1
Substituting the value of x in Equation 1, we get:
1 - y = 7.4
y = 6.4
Therefore, the speed of the current is 6.4 km/hr.
But the question asks for the rate of the current, which is the absolute value of the speed of the current. Hence, the answer is 6.4 rounded off to the nearest integer, which is 3 km/hr.
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A man can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is -a)3 km/hrb)3.5 km/hrc)4 km/hrd)4.5 km/hre)17Correct answer is option 'A'. Can you explain this answer?
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A man can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is -a)3 km/hrb)3.5 km/hrc)4 km/hrd)4.5 km/hre)17Correct answer is option 'A'. 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 can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is -a)3 km/hrb)3.5 km/hrc)4 km/hrd)4.5 km/hre)17Correct answer is option 'A'. 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 can row 30 km upstream and 44 km downstream in 10 hours. Also, he can row 40 km upstream and 55 km downstream in 13 hours. The rate of the current is -a)3 km/hrb)3.5 km/hrc)4 km/hrd)4.5 km/hre)17Correct answer is option 'A'. Can you explain this answer?.
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