# Math

posted by .

It takes a plane 40 minutes longer to fly from Boston to Los Angeles at 525 miles per hour than it does to return at 600 miles per hour. How far apart are the cities?

• Math -

Let T be the shorter of the two times (in hours), and D be the distance

600 T = D
525 (T + 2/3) = D = 525 T + 350
600 T = 525 T + 350
75 T = 350
T = 4 2/3 hours
D = 600 T = 2800 miles

## Similar Questions

1. ### math

it takes a plane 40 min longer to fly from boston to los angeles at 525 mi/h than it does to return at 600 mi/h. how far apart are the cities?
2. ### MATH

WEIGHTED AVERAGE A SHIP TRAVELS FROM NEW YORK TO SOUTHAMPTON ENGLAND AT 33 MILES PER HOUR. A PLANE TRAVELING 605 MILES PER HOUR TAKES 104 HOURS LESS TIME TO MAKE THE SAME TRIP. HOW FAR APART ARE THE TWO CITIES?
3. ### math question

Problem A businessman drives from Washington, D.C. to Boston, a distance of 442 miles, and then makes the return trip. On the way to Boston, he drives 65 miles per hour, taking a 1-hour rest stop during the drive. After finishing his …
4. ### Algebra

A ship travels from New York to southampton, england at 33 miles per hour. A plane traveling 605 miles per hour takes 104 hours less time to make the same trip. How far apart are the two cities?
5. ### Math

It takes one hour longer to fly to St. paul at 200 miles per hour than it does to return at 250 miles per hour. How far away is St. Paul?
6. ### Math- Multi-step word problems

A plane traveling from Chicago to Boston with a tailwind of 10 miles per hour takes 4 hours. The return trip in the same wind, which is now a headwind, takes the same plane 4 hours and 9 minutes. According to this problem, about how …
7. ### Math- Multi-step word problems

A plane traveling from Phoenix to Washington, D.C with a tailwind of 20 miles per hour takes 3 hours. The return trip in the same wind, which is now a headwind, takes the same plane 3 hours and 12 minutes. What is the average speed …
8. ### 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?
9. ### Math

Which ratio is equivalent to 4/16 A. 2:4•• B. 6 to 20 C. 8:32 D. 12 to 64 Write the ratio as a unit rate. 286 miles in 5 1/2 hours A. 36 miles per hour B. 52 miles per hour •• C. 57.2 miles per hour D. 114.4 miles per hour …
10. ### Math

Mary drives 20 miles per hour and it takes 50 minutes to reach her destination. How much time would it take her to get there if she was driving 40 miles per hour?

More Similar Questions

Post a New Question