# Physics

On a drive from your home to town, you wish to average 44 mph. The distance from your home to town is 106 miles. However, at 53 miles (half way), you find you have averaged only 33 mph.
What average speed must you maintain in the remaining distance in order to have an overall average speed of 44 mph?

1. 👍 0
2. 👎 0
3. 👁 276
1. Think of it in terms of how far you've gone already at 33 mph, how far left to go right now (and at the speed you will need to solve for, call it "X"), versus on the other side of the equation your original plan in terms of how far you were going to go and at what speed.

So, this is set out below with "X" being the speed you need to go for the last half of the trip. Solve for X.

(53 miles)/(33 mile/hr) + (53 miles)/(X mile/hr) = (106 miles)/(44 mile/hr)

1. 👍 0
2. 👎 0
2. 66

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

On a drive from your home to town, you wish to average 52 mph. The distance from your home to town is 106 miles. However, at 53 miles (half way), you ﬁnd you have averaged only 39 mph. What average speed must you maintain in the

2. ### College algebra

Allison drove home at 58 mph, but her brother Austin, who left at the same time, could drive at only 40 mph. When Allison arrived, Austin still had 108 miles to go. How far did Allison drive?

3. ### Math

An executive drove from home at an average speed of 40 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 80 mph. The entire distance was

4. ### MATH

Carter left Town A at noon, driving toward Town B at an average speed of 50 mph. At 12:30 P.M., Max headed from Town B to Town A along the same road. At 3 P.M., they met each other along the way, and Carter realized that he had

1. ### Algebra

Tom drove to Easton from home at 50 mph. His return trip took 30 minutes longer because he ran into traffic and could only drive 45mph. How many miles is it from Tom's home to Easton? Express answer as a decimal.

2. ### STAT

Suppose adults in a particular town drive a mean of 65 mph with a standard deviation of 15 mph. Using the normal curve table, a.What percentage of adults drive below 35 mph? b.What percentage of adults drive below 68 mph or above

3. ### pre-algebra

your family is driving to houston,texas.A sign indicates that you are 700 miles from houston.Your car's trip odometer indicates you are 400 miles from home.YOu are traveling at an average speed of 60 miles per hour. A. write an

4. ### algebra

Allison drove home at 66 mph, but her brother Austin, who left at the same time, could drive at only 48 mph. When Allison arrived, Austin still had 54 miles to go. How far did Allison drive?

1. ### distance

An executive drove from home at an average rate of speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire

2. ### Math

Two towns are 420 miles apart. A car leaves the first town traveling toward the second town at 55 mph. At the same time, a second car leaves the other town and heads toward the first town at 65 mph. How long will it take for the

3. ### Math

Suppose you wish to average 40 mph on a trip and find that when you are half the distance to your destination you have averaged 30 mph. How fast should you travel in the remaining half of the trip to attain an overall average of

4. ### math

the distance between town A and town B was 210km. At 9:20pm a bus sets off from town A to town B and a car left from town B to town A. The average speed of the bus was 60km/h and the average speed of the car was 80km/h.