Problema Solution
Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 3 mi/hr and the other due west at 1 mi/hr . How long can they communicate with one another if each radio has a maximum range of 8 miles? (Round to the nearest minute.)
Answer provided by our tutors
Let 'd' stand for the distance of surveyor 1 and '8-d' stand for the distance walked of surveyor 2. Using d=rt (distance=rate*time), we can write:
Surveyor 1:
d=(3)t
Surveyor 2:
(8-d)=(1)t
Using Algebrator to solve for d and t, we get:
d=6miles
t=2hrs
They can communicate with one another until 11am.