The boat travels 60 miles to an island and the same 60 miles coming back. Changes in the wind and tide made the average speed on the return trip 3 mph slower than the speed on the way out. If the total time of the trip took 9 hours, find the speed going to the island and the speed on the return trip.
 👍
 👎
 👁
 ℹ️
 🚩
1 answer

return speed = v  3
time out = 60/v
time back = 60/(v3)
so
60/v + 60/(v3) = 9
60(v3) + 60 v = 9 v(v3)
9 v^2 27v = 120 v  180
9 v^2  147 v + 180 = 0
3 v^2  49 v + 60 = 0
(3 v 4)(v15) = 0
v = 15 or v = 4/3
4/3 will not work because v  3 is negative
try v = 15
15 and 153 = 12
then
60/v = 4
60/12 = 5
sure enough 9 hours 👍
 👎
 ℹ️
 🚩
Damon
Answer this Question
Related Questions

Math
The table shows the number of miles driven over time. Time (hours)Distance (miles) 4232 6348 8464 10580 Express the relationship between distance and time in

PreCal
Two airplanes take off from an airport at the same time. One travels on a heading of 45 at 420 mph and the other on a heading of 150 at 400 mph. After two hours, how far apart are the airplanes? A.650.66 miles B.1,160 miles C.1,301 miles

Algebra 1
The table shows the number of miles driven over time. TimeDistance 4 184 6 276 8 368 10 460 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship. a. 184;

Algebra
The current of a river moves at 3 miles per hour. It takes a boat 3 hours to travel 12 miles upstream, against the current, and return the same distance traveling downstream, with the current. What is the boats rate in still water?

mathematics
Write and solve an equation for the situation. Jamal and Keisha went running. Keisha ran 2.4 miles more than Jamal. If Keisha ran 8.5 miles, how many miles did Jamal run? A. 2.4 + 8.5 = m; m=10.9 miles B. 2.4 + m = 8.5; m = 6.1 miles C. 2.4 + m = 8.5; m =

Pre Calculus
A motorboat travels 48 miles down a river in the same time it takes to travel 32 miles up the river. If the rate of the current is 4 miles per hour that is the rate of the boat still water?

Algebra
Two trains leave Raleigh at the same time, one traveling north, the other south. The first train travels at 50 miles per hour and second at 60 miles per hour. In how many hours will the trains be 275 miles apart?

math
The speed of a river current is 4 mph. IF a boat travels 20 miles downstream in the same time that it takes to travel 10 miles upstream, find the speed of the boat in still water.

Algebra 2
Find an equation for the linear model of the situation below and use it to make a prediction. A train is traveling north at a constant rate. At 3:00 P.M. it is 55 miles north of a city. At 4:15 P.M. it is 80 miles north of the city. If d represents the

math
joe walked 4 miles north, 9 miles east then 8 miles north and 7 miles east if Al decides to walk straight back to where he started how far must he walk?

math
A boy travels on his bicycle at the rate of 6 miles per hour and his sister on hers at the rate of 5 miles per hour. They start at the same time and place and travel over the same road in the same direction. After traveling for 3 hours, the boy turns back.

math
an athlete. an run in 6 miles in 51 minutes. at this rate approximately how far could the runner go in 1.5 hours? A. 0.2 miles B. 8.5 miles C. 10.6 miles D. 12.75 miles

Algebra plz help
1.The table shows the number of miles driven over time. Time(hours):4 , 6 , 8 , 10 Distance(miles):204 , 306 , 408 , 510 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets

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. The entire trip covered 100

scientific notation?
A) light travels at approximately 186,000 miles per second. approximately how far will it travel in 1 minute? express your answer in scientific notation B) the sun is approximately 93,000,000 miles from the earth. about how long does it take light to

Math
on a school feild trip the bus travels 14 miles in 20 minutes. find the speed of the bus in miles per hour.

Math (Trig.)
A boat sailing from A to B travels in a straight line until the captain realizes he is off course. The boat is turned through an angle of 60 degrees, then travels another 10 km to B. The trip would have been 4 km shorter if the boat had gone straight from

maths
A motorist travels 120 miles to his destionation at an average speed of 60 miles per hour and returns to the starting point at an average speed of 40 miles per hour.His average speed for the entire trip is 1. 53 miles per hour 2. 52 miles per hour 3. 50

math
A water skiing instructor recommends that a boat pulling a beginning skier have a speed less than 18 miles per hour. Write and solve an inequality that you can use to find the possible distances d (in miles) that a beginner can travel in 45 minutes of

math
1. The class social committee, consisting of 6 people, is planning a party. The committee wants to have a cake for the group. If each cake provides 24 servings, how many cakes should the committee order to serve a class of 70 and staff of 3? 2. Young adult
Still need help?
You can ask a new question or browse existing questions.