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A boatman rows 1 km in 5 min along the stream and 6 km in 1 h against the stream. The Speed of the stream is
|
A) 3 km/h |
|
B) 6 km/h |
|
C) 10 km/h |
|
D) 12 km/h |
Correct Answer:
| A) 3 km/h |
Description for Correct answer:
Let the speed of boat and stream be x and y km/h.
Therefore, Speed of boat along stream = (x + y) km/h
and Speed of boat against stream = (x - y) km/h
According to the question,
x + y = \( \Large \frac{1}{\frac{5}{60}} = \frac{60}{5} \)
= x + y = 12 ...(i)
and x-y = 6 ..(ii)
On adding Eqs. (i) and (ii), we get
2x = 18
x = \( \Large \frac{18}{2} \) = 9
On Putting the value of x in Eq. (i), we get
9 + y = 12
y = 12 - 9 = 3
Hence, speed of boat = 9 km/h
and speed of stream = 3 km/h
Let the speed of boat and stream be x and y km/h.
Therefore, Speed of boat along stream = (x + y) km/h
and Speed of boat against stream = (x - y) km/h
According to the question,
x + y = \( \Large \frac{1}{\frac{5}{60}} = \frac{60}{5} \)
= x + y = 12 ...(i)
and x-y = 6 ..(ii)
On adding Eqs. (i) and (ii), we get
2x = 18
x = \( \Large \frac{18}{2} \) = 9
On Putting the value of x in Eq. (i), we get
9 + y = 12
y = 12 - 9 = 3
Hence, speed of boat = 9 km/h
and speed of stream = 3 km/h
Part of solved Boat and Stream questions and answers : >> Aptitude >> Boat and Stream
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