The speed of the current in a river is 2 km/hr. If a boat is rowed downstream for
a distance of 34.5 km in 3hrs, find the speed of the boat in still water.
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Answer:
an example
Step-by-step explanation:
since the equation of lines which been intersected is given as;
2 x+3 y=21⟶(1)
and 3 x−4 y+11=0
⇒3 x−4 y=−11⟶(2)
(1)×4+(2)×3
8x+12y=84
9 x−12y=−33
17x+0=51
x=3⇒4 y=20⇒ Y=5
∴ x=3 and Y=5
coordinate of point of intersection is (3,5)
since the distance of point (3,5) from the line 8x+6 y+5=0 is given as
d=
A
2
+B
2
∣Ax
1
+By
1
+C∣
=
8
2
+6
2
∣8⋅3+6⋅5+5∣
=
10
59
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