about man rows his boat 33 km upstream and 55 km downstream in 12 hours he can row 30 km upstream and 44 km downstream in 10 hours find the speed of the stream and that of the boat in still water and find the total time taken by the boat to row 50 km upstream and 77 km downstream
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Given Data:
Let the speed of,
1.boat in still water be 'x' km/hr
2.The speed of the stream be 'y' km/hr
Hence speed of boat in downstream=(x+y)km/ hr and in upstream =(x-y)km/hr
Now distance=speed ×time
hence,time=distance÷speed
..time taken by the boat to travel 33km upstream =33/x-y hours and it takes 55/x+y hours to to travel 55km downstream .
From first condition
33/x-y +55/x+y=12 hours ------(equation 1)
From 2nd condition,
30/x-y+44/x+y=10
Now replace 1/x-y=m and 1/x+y=n
Hence,
33m+55n=12-------(equation 3)
30m+44n=10-------(equation 4)
On solving equations 3 and 4 we get as
132m+220n=48
- 150m+220n=50
- -
_________________
-18m =2
hence,m=2/18=1/9
and n =......
and solve further I am bit busy sorry
Let the speed of,
1.boat in still water be 'x' km/hr
2.The speed of the stream be 'y' km/hr
Hence speed of boat in downstream=(x+y)km/ hr and in upstream =(x-y)km/hr
Now distance=speed ×time
hence,time=distance÷speed
..time taken by the boat to travel 33km upstream =33/x-y hours and it takes 55/x+y hours to to travel 55km downstream .
From first condition
33/x-y +55/x+y=12 hours ------(equation 1)
From 2nd condition,
30/x-y+44/x+y=10
Now replace 1/x-y=m and 1/x+y=n
Hence,
33m+55n=12-------(equation 3)
30m+44n=10-------(equation 4)
On solving equations 3 and 4 we get as
132m+220n=48
- 150m+220n=50
- -
_________________
-18m =2
hence,m=2/18=1/9
and n =......
and solve further I am bit busy sorry
Niranjankannan:
thank you so much
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