# Math

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?

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. 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

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### algebra

What happens when smog lifts in los angeles, california?

2. ### Precalculus

1.A plane takes off at an angle of 6 degrees traveling at the rate of 200 feet/second. If it continues on this flight apth at the same speed, how many minutes will it take to reach a n altitude of 8000 feet? 2. A plane takes off

3. ### math

what happens when the smog lifts in los angeles california

4. ### math

three pigs entered a race around a track. Piggly takes 6 minutes to run one lap, piglet takes 3 minutes while wiggly takes 5 minutes. If all three pigs begin the race at 1:00pm at what time will all be at the starting point again?

1. ### maths

an aeroplane takes 40 minutes less to fly 3600km with the wind blowing at 30 km/hr than the time it takes to fly against the same wind .Find the actual speed of the aeroplane when there is no wind.

2. ### 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

3. ### arithmetics

I still don't understand how you got those answers?drbob how did you get 0.75 divided by 112.50? can someone else help me understand? #6 After an article is discounted at 25% it sells for \$112.50. The original price of the article

4. ### statisticss

The time taken by a man to deliver milk is normally distributed with, mean 12 minutes and standard deviation 2 minutes. He delivers milk everyday estimate the probability that he takes. (a) longer than 17 minutes (b) between 9 and

1. ### 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

2. ### MATHEMATICS

A plane can fly 980 miles in the same time as it takes a car to go 420 miles. If the car travels 80 mph slower than the plane, find the speed of the plane.

3. ### Math

A plane leaves Boston at 10 am (Boston time) and flies non-stop to LA, 2700 miles away, at 580 miles per hour (mph). On the same route, a second plane is flying non-stop from LA to Boston at 620 mph. If the second plane lease LA

4. ### Calculus

Which of these physical settings makes sense for an object moving along the x-axis? Its position at any time is given by x(t) = 3cos(π t) + 2 a. A skydiver falling from a plane, before she opens her parachute. b. The shadow cast