Problema Solution
In his speed boat, Walter travels upstream a distance of 36 mills, in 2 hours. Returning downstream he finds the trip takes 1.5 hours. find the speed of the boat and the speed of the corent
Answer provided by our tutors
let
t1 = 2 hours
t2 = 1.5 hours
d = 36 miles
v = the speed of the boat
x = the speed of the current
the speed upstream is v - x
the speed downstream is v + x
since speed = distance/time => distance = speed * time
(v - x)*t1 = d
(v + x)*t2 = d
or
(v - x)*2 = 36
(v + x)*1.5 = 36
by solving the system we find
v = 21 miles/h
x = 3 miles/h
the speed of the boat is 21 miles/h.
the speed of the current is 3 miles/h.