SOLUTION: The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of

Algebra ->  Finance -> SOLUTION: The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of       Log On


   

Question 1010255: The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between port M and port N is 162 mi.
A ship left port M with a speed of 45 mph.
In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph.
How long after the departure of the first ship will the two ships meet?
:
Change 45 min to .75 hrs
:
Let t = travel time of the first ship
then
(t-.75) = the travel time of the 2nd ship (left 45 min later)
:
When the two ships meet the sum of their distances will equal 162 mi
:
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You are very kind, but it is not OK to make mistakes here, let me try and correct this. CK
:
45t + 36(t-.75) = 162
45t + 36t - 27 = 162
45t + 36t = 162 + 27
81t = 189
t = 189/81
t = 21%2F3 hrs, 2hr, 20 min
:
:
:
Confirm this by finding the actual dist each ship traveled
45 * 2.333 = 105 mi
36(2.333-.75) = 57 mi
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dist total of both: 162 mi