SOLUTION: 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 aver
Algebra.Com
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
RELATED QUESTIONS
A ship traveled at an average rate of 12 miles per hour going west. It then traveled at (answered by Boreal)
A ship traveled at an average rate of 12 miles per hour going east. It then traveled at (answered by jorel1380)
A ship traveled at an average rate of 25 miles per hour going west. It then traveled at (answered by ankor@dixie-net.com)
a fishing boat left dock 24 and traveled south at an average speed of 18 mph. A cruise... (answered by Maths68)
Two ships left a port at the same time. One ship traveled at a speed of 11 miles per hour (answered by avi2408)
Two ships left a port at the same time. One ship traveled at a speed of 11 miles per hour (answered by Alan3354)
A supertanker leaves port traveling north at an average speed of 10 knots. Two hours... (answered by mananth)
A supertanker leaves port traveling north at an average speed of 10 knots. Two hours... (answered by TimothyLamb)
Mr. and Mrs. Berg went on a cruise to a tropical island. They spent a total of 26 hours... (answered by ikleyn)