Lesson Typical arithmetic Travel & Distance problems

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Typical arithmetic Travel & Distance problems

Problem 1

Two cars entered an Interstate highway at the same time at different locations and traveled
in the same direction. The initial distance between cars was 40 miles.
First car was running 70 miles per hour, the second car was running 60 miles per hour.
How long will it take for the first car to catch up the second one?

Solution

The original distance between the cars was 40 miles.

Each hour the distance is decreasing by 70-60 = 10 miles per hour.

Therefore, the first car will catch up the second car in 40/10 = 4 hours.  


ANSWER.  It will take 4 hours for the first car to catch up the second car.

Problem 2

A car leaves a city 20 minutes after a truck leaves the same city.
The truck is traveling at an average speed of 60 km/h and the car is traveling
at an average speed of 80 km/h. How long will it take for the car to overtake the truck?

Solution

In 20 minutes, a truck is   = 20 km ahead the car.


Moving faster than the truck, the car has approaching speed of 80-60 = 20 km/h.


Therefore, the car will overtake the truck in  = 1 hour.    ANSWER

Problem 3

A long-distance runner started on a course at an average speed of 8 mph.
Half an hour later, a second runner began the same course at an average speed of 10 mph.
How long after the second runner starts will the second runner overtake the first runner?

Solution

In half an hour, 1st runner is   = 4 miles ahead the 2nd runner.


Moving faster than 1st runner, the 2nd runner has approaching speed of 10-8 = 2 miles per hour.


Therefore, it is clear that the 2nd runner will overtake the 1st runner in 


     = 2 hours.    ANSWER

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    OVERVIEW of the first group of lessons on arithmetic word problems

To see the whole list of lessons on arithmetic problems, use this link Arithmetic problems - YOUR ONLINE TEXTBOOK
It is your way to the entry page of the online textbook on Arithmetic problems.

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