Lesson Using fractions to solve Travel problems

This Lesson (Using fractions to solve Travel problems) was created by by ikleyn(52754)

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Using fractions to solve Travel problems

In this lesson some typical Travel problems are presented that are very similar to the problems on Joint work. You will learn how to solve such problems using fractions.

Problem 1

The car covers the distance between two cities in 20 hours. The truck can cover this distance in 30 hours.
The car and the truck started moving simultaneously from these cities toward each other.
When will the car and the truck get passing each other?

Solution

The car covers 1%2F20

of the whole distance in one hour.
The truck covers 1%2F30

of the whole distance in one hour.
Since the car and the truck are moving toward each other, the distance between the car and the truck is decreased each hour by

1%2F20

of its original value which is equal to the distance between the cities.

Hence, it will take 12 hours for the car and the truck to get passing each other.

Answer. The car and the truck will get passing each other in 12 hours.

Problem 2

The car covers the distance between two cities in 4 hours. The truck can cover this distance in 6 hours.
The car and the truck started moving simultaneously from these cities in one direction in a way that the car follows the truck.
When will the car catch up with the truck?

Solution
The car covers 1%2F4

of the distance between the cities in one hour.
The truck covers 1%2F6

of the same distance in one hour.
Since the car and the truck are moving in one direction, the distance between the car and the truck is decreased each hour in

1%2F4

of its original value which is equal to the distance between the cities.

Hence, the car will catch up with the truck in 12 hours.

Answer. The car will catch up with the truck in 12 hours.

My other introductory lessons on Travel and Distance problems in this site are
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)

My other lessons on fractions in this site are
    - Using fractions to solve word problems
    - Calculations with fractions
    - Advanced problems on ratios
    - Entertainment problems on fractions
    - OVERVIEW of my lessons on fractions

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