Respuesta :
complete question:
A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?
Answer:
The ship heading north traveled for 3 hours
Step-by-step explanation:
A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.
speed = distance/time
total distance = 85
total time = 5 hours
speed = 85/5
speed = 17 miles/hr
West direction
Heading west the ship traveled at an average speed of 14 miles per hour. The speed can be represented for this journey as follows.
speed = distance/time
14 = dist/time
let
a = time traveled west
distance = 14a
North direction
speed = dist/time
19 = dist/time
time travel north = 5 - a
distance = 19(5 - a)
distance = 95 - 19a
Total distance traveled = 85 miles
85 = 14a + 95 - 19a
85 = -5a + 95
-10 = -5a
a = -10/-5
a = 2
The ship heading north will travel for 5 - 2 = 3 hours
Answer:
complete question:
A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?
The ship heading north will travel 3 hours
Step-by-step explanation:
let w = time heading west at 14 mph
the total time is 5 hrs, therefore
(5-w) = time heading north at 19 mph
A distance equation; dist = speed * time
14w + 19(5-w) = 85
14w + 95- 19w = 85
14w - 19w = 85 - 95
-5w =-10
w = 10/5
w = 2 hrs traveling west
therefore
(2)14= 28 mile going west
:And hours the ship heading towards north:5-2=3 hours
Therefore ,The ship heading north will travel 3 hours
