Problema Solution
A bardge and fishing boat dock at the same time.traveling at right angle to each other. The bardge travels 7km h slower than fish boat
After 4hr the boats are 68 km apart find the speed of each vessel
Answer provided by our tutors
Let x be the speed of the fish boat.
then (x-7) is the speed of the bardge.
In 4 Hours they travel 4x, 4(x-7) Km.
Using Pythageren theorom
(4x)^2+(4x-28)^2 =68^2
16x^2 +16x^2-224x+784=4624
32x^2-224x-4624=0.
2x^2-14x-289=0.
Solving the quadratic
x=16 miles.
speed of fish boat x=16 miles.
speed of bargde =x-7=16-7=9 miles.