# algebra

how do I solve this and show the work:

a motorboat went upstream at 15 miles per hour and returned downstream at 20 miles per hour. How far did the boat travel one way if the round trip took 3.5 hours?

1. 👍
2. 👎
3. 👁
1. since time = distance/speed, add up the total time:

d/15 + d/20 = 3.5
d = 30

1. 👍
2. 👎

## Similar Questions

1. ### Math

How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas? 43 miles 270 miles 495 miles 420 miles can someone help me understand how to do this problem i dont know how, after can you check my

2. ### Calculus

A lighthouse is built on an exposed reef, 5 miles off-shore. The shoreline is perfectly straight, and a town is located 9 miles downshore from the point on the shoreline nearest the lighthouse. The lighthouse keeper needs to go

3. ### calculus

Nikki is driving a motorboat across a river that flows at 5 m/s. The motorboat has a speed of 12 m/s in still water. She heads out from one bank in a direction perpendicular to the current. How far does she travel in 3 minutes?

4. ### physics

a motorboat is driven across a river at 5km/h at right angles to a current flowing at 3.9km/h. What is the resulting speed of the motorboat?

1. ### Intermediate Algebra Word Problem

A river's current is 4mph. A boat travels 48 miles downstream in the same time it travels 24 miles upstream. Find the speed of the boat. A) What does the variable stand for? x stands for the speed of the boat. B) Write the

2. ### Math- Multi-step word problems

A canoe in still water travels at a rate of 10 miles per hour. The current today is traveling at a rate of 3 miles per hour. If it took an extra hour to travel upstream, how far was the trip one way? about 14 miles about 15 miles

3. ### Math

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? you can express your answer to the nearest

4. ### math

A boat sails 'm' miles upstream at the rate of 'r' miles per hour. The rate of the stream is 's' miles per hour. How long will it take the boat to return to its starting point?

1. ### Math

A boat, which moves at 18 mph in still water, travels 14 miles downstream in the same amount of time it takes to travel 10 miles upstream. Find the speed of the current.

2. ### Math

Brian's boat has a top speed of 9 miles per hour in still water. While traveling on a river at top speed, he went 10 miles upstream in the same amount of time he went 20 miles downstream. Find the rate of the river current.

3. ### Algebra

The current of a river is 2 miles per hour. A boat travels to a point 24 miles upstream and back in 5 hours. What is the speed of the boat in still water?

4. ### Math

1. Y=4x+24 and y=^x+6 What the x value is a solution to equation 2 . 4x+5y=7 y=3x+9 ^ Solve the system using Substitution show all work 9x+5y=35 2x+5y=0 ^ Solve the system using linear Combination Show all work