SOLUTION: A ship left port A with a speed of 40 mph. In 1 hour and 15 minutes, a second ship left the port with a speed of 60 mph. In how many hours and at what distance from port A will the
Algebra.Com
Question 955829: A ship left port A with a speed of 40 mph. In 1 hour and 15 minutes, a second ship left the port with a speed of 60 mph. In how many hours and at what distance from port A will the second ship catch up with the first one?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In hrs, the 1st ship travels:
mi
-----------------
Start a stopwatch when 2nd ship leaves
Let = time in hrs when 2nd ship
catches the 1st ship
Let = distance from port A when
2nd ship catches 1st ship
-----------------------
Equation for 1st ship:
(1)
Equation for 2nd ship:
(2)
----------------------
Substitute (2) into (1)
(1)
(1)
(1)
------------------
and
(2)
(2)
150 mi from port A, 2nd ship catches the 1st ship
---------------
check:
(1)
(1)
(1)
OK
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A ship left port A with a speed of 40 mph. In 1 hour and 15 minutes, a second ship left the port with a speed of 60 mph. In how many hours and at what distance from port A will the second ship catch up with the first one?
------------------
1st ship DATA:
rate = 40 mph ; time = x hrs ; distance = 40x miles
----
2nd ship DATA:
rate = 60 mph ; time = (x-(5/4)) hrs ; distance = 60(x-(5/4)) miles
---------
Equation::
dist = dist
40x = 60x - 75
20x = 75
x = 15/4 hrs
----
Dist from 1st port:: 40x = 40(15/4) = 150 miles
--------------
Cheers,
Stan H.
RELATED QUESTIONS
A ship left port A with a speed of 40 mph. In 1 1/4 of an hour, a second ship left the... (answered by FrankM)
The distance between port M and port N is 162 mi. A ship left port M with a speed of 45... (answered by ankor@dixie-net.com)
The distance between port M and port N is 162m. A ship left port M with a speed of 45... (answered by macston)
Hi, I have a word problem based off of an equation;
The distance between port M and... (answered by macston)
A ship left a port and sailed east at a rate of 20 mph. one hour later a second ship left (answered by lwsshak3)
A ship travel from port A to port B with distance 20 knots in 30 minutes.the ship travel... (answered by ankor@dixie-net.com)
a ship left a port and sailed east at the rate of 20 miles per hour. one hour later, a... (answered by jorel555)
A cruise ship left Port 37 and traveled south. A submarine left nine hours later... (answered by josmiceli)
Ship A leaves port sailing north at a speed of 15 mph. A half hour later, ship B leaves... (answered by ankor@dixie-net.com)