# Math..

posted by .

A car goes at 40 miles per hour and returns at the same route at 30 miles per hour. What is the total distance if the time is 1 hour?
17 and 3/7

• Math.. -

let the time for first trip be t hrs
then the time for the return trip is 1-t hrs

so 40t = 30(1-t)
40t = 30 - 30t
70t = 30
t = 3/7 hrs

distance = 40t = 40(3/7) = 120/7 miles
or appr 17.14 miles

looks like your answers are correct, make sure you state them in the proper way.

## Similar Questions

1. ### Math

A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclistâ€™s average rate for the round trip in miles per hour?
2. ### math

A woman drove to work at an average speed of 40 miles per hour and returned along the same route at 30 miles per hour. If her total traveling time was 1 hour, what was the total number of miles in the round trip?
3. ### math

This is an SAT prep question. A woman drove to work at an average speed of 40 miles per hour and returned along the same route at 30 miles per hour. If her total traveling time was 1 hour, what was the total number of miles in the …
4. ### math

A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
5. ### math

18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
6. ### Algebra 1

Nico drives from school to the store at 25 miles per hour. He drives back to the school (along the same route) at 35 miles per hour, and the returns to the store (via the same route) travelling at 40 miles per hour. Find the average …
7. ### physics

. Compared a car (mass of 2000 kg) moving at 10 miles per hour, how much kinetic energy (in Joules) does that same car have when it moves at 20 miles per hour?
8. ### 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 …
9. ### Physics kinematics

The break of a car can slow it down from 60 miles per hour to 40 miles per hour in two secs how long it bring the car to a stop from an initial velocity of 25 miles per hour at the same acceleration
10. ### Trigonometry- Help!

After one hour in flight, an airplane is located 200 miles north and 300 miles west of the airport. What is the magnitude of the plane's velocity?

More Similar Questions