# Algebra

A passenger boat which travels 6 mph faster than a freighter required 3 days less time to make a trip of 2592 miles. Find the rate of the passenger boat.

1. 👍 0
2. 👎 0
3. 👁 90
asked by Lina
1. rate of passenger boat --- x mph
rate of freighter --------- x-6 mph

2592/(x-6) - 2592/x = 72 , assuming they travel 24 hours per day

multiply each term by x(x-6)

2592x - 2592(x-6) = 72x(x-6)
2592x - 2592x + 15552 = 72x^2 - 432x

72x^2 - 432x - 15552 = 0
9x^2 - 54x - 1944= 0
(x - 18)(9x + 108) = 0
x = 18 or x is a negative

the rate of the passenger boat was 18 mph
the rate of the freighter was 12 mph

check
2592/18 = 144 hrs
2592/12 = 216441 hrs
difference is 216-144 = 72
My answer of x = 18 is correct

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Math

1-)A passenger boat which travels 6 mph faster than a freighter required 3 days less time to make a trip of 2592 miles. Find the rate of the passenger boat. 2-)For the first of two basketball games the price of each reserved seat

asked by Lina on May 8, 2014
2. ### algebra

a steamboat travels 9 km faster than a freighter. The steamboat travels 147 km/in the same time the freighter travels 120 km/ find the speed of each boat?

asked by ana on April 26, 2016
3. ### MATH Algebra

The speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train. What is the

asked by Anonymous on August 7, 2009
4. ### Algebra

Speed of passenger train is 6mph faster than the freight train. The passenger train travels 260 miles at the same time the freight train travels 230 mph. WHAT would be the speed of both the passenger and freight trains?????

asked by Chelsea on December 13, 2011
5. ### algebra 1b

the speed of a passenger train is 18mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 220 miles. Find the speed of each train passenger train

asked by kay on March 21, 2012
6. ### math please help

The speed of a passenger train is 8 mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 270 miles. Find the speed of each train. What is the

asked by madison on October 24, 2016
7. ### algebra

the speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 330 miles in the same time it takes the freight train to travel 300 miles.Find the speed of each train.

asked by milton on May 5, 2015
8. ### Algebra

The speed of a passenger train is 20 mph faster than the speed of a freight train. The passenger train travels 250 miles in the same time it takes the freight train to travel 150 miles. find the speed of each train.

asked by Francessca on June 3, 2011
9. ### Math

The The speed of a passenger train is 12 mph faster then the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 210 miles. Find the speed of each train.

asked by Debbie on February 14, 2008
10. ### algebra

two motorcyclists started at the same point and travel in opposite directions. one travels 6 mph faster than the other.In 4 hours they are 432miles apart. how fast is each traveling? speed of slower mph speed of faster mph

asked by Anonymous on May 21, 2012

More Similar Questions