Games
Problems
Go Pro!

Arrival Time

Pro Problems > Math > Algebra > Equations > Word Problems > Linear > Rate and Time
 

Arrival Time

Two trains are traveling from Washington DC to Bangor, ME. The first train leaves Washington DC and travels to Boston, MA (430 miles) and has a two hour stop before continuing on to Bangor (250 miles).

The second train leaves Washington DC one and a half hour later than the first train. It travels by way of Albany, NY (338 miles) and then continues directly on to Bangor (400 miles).

If the first train travels at 34 mph, how fast does the second train have to travel to reach Bangor at the same time as the first train?

Presentation mode
Problem by Mr. Twitchell

Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem
Click here to assign this problem to your students.

Similar Problems

Cars and Units

A car which travels at 30 ft/s travels from City A to City B, then to City C, and finally to City D. The distance from A to B is 22 miles.  It takes 2 hours to get from B to C. The distance from C to D is the average of the distances from A to B and B to C. How many minutes did the journey take?

Three Racers

Jill runs three as fast as Jack. Henry runs five times as fast as Jack. All three children run a 100 meter dash. When the race is over, how far behind Jill is Jack?

Lawnmower Race

Samwise can mow 5 lawns in 9 hours, and Frodo can mow 1 lawn in 4 hours. Samwise, Frodo, and Bilbo, working together, can mow 20 lawns in 18 hours. How many minutes does it take Bilbo to mow 3 lawns?

Auburn to Bangor

A car travels from Auburn to Bangor, passing through Augusta and then Waterville along the way. The distance from Auburn to Augusta is one third the distance from Auburn to Bangor. The distance from Augusta to Waterville is
3
5
the distance from Auburn to Augusta. The distance from Waterville to Bangor is 49 miles. How long was the total trip?

Average Speed

John drove at 20 mph for 30 minutes, and then he drove back home at 10 mph. What was his average speed for the entire trip?

A Long Walk

Marco walks a certain distance at a certain speed (measured in miles per hour), and then returns over the same distance at a speed one mph less than his original walking speed. He took a total of 35 hours. If, instead of slowing down for his return journey, he had sped up by one mph, his journey would have taken 27 hours. How far did he walk?

Daylight Savings Time

A clock adjusts its timing each night by contacting a satellite at 2:00 AM to find out the official standard time. Since it has a mechanical action with physical minute, second and hour hands, if the clock finds out it is out of sync, it will move at 12 times normal speed in order to "catch up" with the actual time. (If it is ahead of the correct time, it will still move forward, until it wraps around to the correct time.)

In the fall, when Daylight Savings Time happens, at 2:00 the satellite tells the clock that it is actually 1:00. Thus, the clock has to move forward at high speed until it wraps around to the correct time.

How long will it take the clock to be displaying the correct time again?

City A to City B

A car can travel from city A to city B in 8 hours. If its speed during the return journey was decreased by 7 mph, it would take 9 hours to get back to city A. How far apart are the two cities?

Jack and Jane

Jack can mow a lawn in 6 hours, and Jane can mow it in 4 hours. If they work together, how long will it take them to mow the lawn? Give your answer in minutes.

Traveling to the City

A car travels from city A to city B in 12 hours. It then travels from city B to city C at the same speed, in 8 hours. If the car was traveling 5 mph faster, it would have traveled from city A to city B in 10 hours.  What is the distance from city B to city C?

Monkey in the Middle, Fast Reader, Maria and Fido, Building a Wall, A Boy and a Half, Mowing Lawns, Birds of a Feather, Sam and Sandy Race, Owen and the Books, Waiting for Christmas

Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.
Like us on Facebook to get updates about new resources
Home
Pro Membership
About
Privacy