A man can row against the current three fourth of a kilometer in 15 min and returns same distance in 10 min, then ratio of his speed to that of current?
A) 5:1
B) 3:1
C) 4:1
D) 2:1
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Let the speed of man and current be x and y km/h, respectively.
Speed upstream = (x - y) km/h
Speed down stream = (x +y) km/h
According to the question,
3×604×15=x−y3×604×15=x−y
= x - y = 3 ...(i)
and 34×6010=x+y34×6010=x+y
= x + y = 9292 ...(ii)
On adding Eqs. (i) and (ii), we get
2x=3+922x=3+92
2x=6+922x=6+92
x=154x=154
On putting the value of x in Eq. (ii), we get
154+y=92154+y=92
y=92−154=18−154y=92−154=18−154
= y=34y=34
Hence, speed of man x=154x=154 and
Speed of current y=34y=34
Hene, required ratio = 154:34=5:1
Let the speed of man and current be x and y km/h, respectively.
Speed upstream = (x - y) km/h
Speed down stream = (x +y) km/h
According to the question,
3×604×15=x−y3×604×15=x−y
= x - y = 3 ...(i)
and 34×6010=x+y34×6010=x+y
= x + y = 9292 ...(ii)
On adding Eqs. (i) and (ii), we get
2x=3+922x=3+92
2x=6+922x=6+92
x=154x=154
On putting the value of x in Eq. (ii), we get
154+y=92154+y=92
y=92−154=18−154y=92−154=18−154
= y=34y=34
Hence, speed of man x=154x=154 and
Speed of current y=34y=34
Hene, required ratio = 154:34=5:1
Answered by
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A man can row against the current three fourth of a kilometer in 15 min and returns same distance in 10 min, then ratio of his speed to that of current?
A) 5:1
B) 3:1
C) 4:1
D) 2:1
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