Pratik takes 8 hours to travel36 km downstream and return the same spot .The speed of boat in still water is 12km per hr. Find the speed of water current
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Answer:6 km/h
Step-by-step explanation:
let speed of water current be x
for downstream(36km)
12+x=36/y let time taken to go downstream be y
y=36/(12+x)..........................(1)
for upstream(36km)
12-x=36/z let time taken to go upstream be z
z=36/(12-x)..................(2)
total time taken=8 hr
therefore x+z=8
from 1 & 2
36/(12+x) + 36/(12-x) = 8
36( 1/(12+x) + 1/(12-x) ) = 8
36((12-x+12+x)/(12+x)(12-x))=8
36(24/12²-x²)=8
36*24/8=144-x²
36*3=144-x²
108=144-x²
x²=144-108
x=√36
x=6
therefore speed of water current = 6 km/h
Answered by
1
Answer is, 48 km pr. hr. current speed of water
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