a boat travels 16 kilometre upstream and 24 kilometre downstream in 6 hour the same boat travels 36 km upstream and 48 kilometre downstream in 13 hours find the speed of water current and speed of boat in still water
Answers
Answer:
Answer:
speed of the boat upstream = 4 km/hr
Speed of the boat downstream = 12 km/hr
Step-by-step explanation:
Let the speed of the boat in still water be B
Let the Speed of the boat in the stream be S.
Downstream speed = (B+S) km/hr
Upstream speed = (B-S) km/hr
Now we are give that
a boat travels 16 km upstream and 24 km downstream in 6 hours the same boat travels 36 km upstream and 48 km downstream in 13 hours
Now
So, --1
--2
Now solve both equations:
Putting
Putting
So, equation becomes:
---3
--4
Now solve these equation using substitution method
Substitute the value of u from 3 in 4
Now substitute the value of v in 3 to get value of u
So, --5
, --6
Solving 5 and 6 we get
B = 4 km/hr
S = 12km/hr
Thus, speed of the boat upstream = 4 km/hr
Speed of the boat downstream = 12 km/hr
Answer:
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Step-by-step explanation:
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