Question 1103706: A ship traveled for a total of 72 miles over the course of 6 hours. Heading south, the ship traveled at an average speed of 13 miles per hour, and heading east, it traveled an average speed of 10 miles per hour. For how many hours was the ship heading east?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A ship traveled for a total of 72 miles over the course of 6 hours.
Heading south, the ship traveled at an average speed of 13 miles per hour, and heading east, it traveled an average speed of 10 miles per hour.
For how many hours was the ship heading east?
:
let e =[ no. of hours headed east
Total for the trip is 6 hrs, therefore:
(6-e) = no. of hrs headed south
:
Write a distance equation; dist = speed * time
:
south dist + east dist = 72 mi
13(6-e) + 10e = 72
78 - 13e + 10e = 72
-3e = 72 - 78
-3e = -6
e = -6/-3
e = +2 hrs traveling east
:
:
Check, 6-2 = 4hrs at 13 mph, find the distance for each
13*4 = 52 mi at 13 mph
10*2 = 20 mi at 10 mph
-------------
total: 72 mi
|
|
|
