# MAT117

During the first part of a trip, a canoeist travels 68 miles at a certain speed. The canoeist travels 16 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?

1. 👍 0
2. 👎 0
3. 👁 141
1. 68mi @ (X+5)mi/h.
16mi @ xmi/h.

t = 68 / (X+5) + 16 / X = 3h,
LCM = X(X+5):
(68X + 16(X+5)) / X(X+5) = 3,
(84X + 80) / X(X+5) = 3,
Multiply both sides by X(X+5):
84X + 80 = 3X(x+5),
84X + 80 = 3X^2 + 15X,
3X^2 + 15X - 84X - 80 = 0,
3X^2 - 69X - 80 = 0.
Solve for X using the Quad. Formula and
get:
X = 24.1062, and - 1.1062.
Select the + value of X:
X = 24.1062mi/h.
X+5 = 29.1062mi/h.

1. 👍 0
2. 👎 0
2. during the first part of the trip a canoeist travels 24 miles at a certain speed. the canoeist travels 7 miles on the second part of the trip at speed of 5 mpg slower. the total time for the trip is 3 hrs. what is the speed of each trip

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Mathematics

On a trip mrs. ahmed drove 188 miles in 4 hours. On the return trip, she took a different route and traveled 197 miles in 4.5 hours. What was the average rate of speed for the trip?

asked by dfhj on July 22, 2020
2. ### math

On a trip, Mrs. Harper drove 188 miles in 4 hours. On the return trip she took a different route and traveled 197 miles in 4.5 hours. What was the average speed of the trip?

asked by springy on July 22, 2020
3. ### algebra 2

During the first part of a trip a canoeist travels 26 miles at a certain speed. The canoeist travels 8 miles on the second part of the trip at a speed 5 mph slower. Total time is 3 hours. What was the seed on each part of the trip

asked by bob on April 21, 2013
4. ### math

So a moped travels at 40km/h for part of a trip and 10km/h for the remainder. If it takes 5.75 hours to travels 185km, how far did it travel at each speed?

1. ### algebra 1

a bout travels 280 miles downstream and back. The trip downstream took seven hours. The trip back took 14 hours. The speed of the boat in still water and the speed of the current

asked by Natalie on January 13, 2016
2. ### Algebra

The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gasoline, g, will the car use on the remainder of the trip?

asked by Rameare on October 24, 2016
3. ### physics

An airplane travels 2800 km at a speed of 700 km/h, decreases its speed to 500 km/h for the next 1500 km and travels the last 1000 km at a speed of 400 km/hr. Find the average speed of the plane for the trip.

asked by nikita on September 13, 2011
4. ### Math

Your family is driving 188 miles to visit a relative. Your father drives 63 miles then stops for a break. How many more miles are left in the trip? Your father drives 50 miles per hour. How long will the remainder of the trip be?

asked by Lol on July 6, 2019
1. ### Math

On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the return trip the average speed was y miles per hour. The average speed for the round trip was 50 miles per hour. Show that

asked by Matt on November 18, 2016
2. ### Math

A boat on a river traveled from City A to City C with a stop at City B. On the first part of the​ trip, the boat traveled at an average speed of 10 miles per hour. From City B to City C the average speed was 15 miles per hour.