For distance problems in which the bodies are moving away from each other or toward each other at right angles (for example, one heading east, the other north), the Pythagorean Theorem is used. This topic will be covered in the last chapter.
Alfi Blog Maret 25, 2026 Admin Bandung IndonesiaFor distance problems in which the bodies are moving away from each other or toward each other at right angles (for example, one heading east, the other north), the Pythagorean Theorem is used. This topic will be covered in the last chapter.
When two bodies travel towards each other (from opposite directions) the rate at which the distance between them is shrinking is also the sum of their individual rates.
Alfi Blog Maret 24, 2026 Admin Bandung IndonesiaWhen two bodies travel towards each other (from opposite directions) the rate at which the distance between them is shrinking is also the sum of their individual rates.
When two bodies are moving in opposite directions, whether towards each other or away from each other, the rate at which the distance between them is changing, whether growing larger or smaller, is the sum of their individual rates.
Alfi Blog Maret 23, 2026 Admin Bandung IndonesiaWhen two bodies are moving in opposite directions, whether towards each other or away from each other, the rate at which the distance between them is changing, whether growing larger or smaller, is the sum of their individual rates.
Distance Problems
Another common word problem type is the distance problem, sometimes called the uniform rate problem. The underlying formula is d = rt (distancemequals rate times time). From d = rt, we get two other relationships: r = d/t and t = d/r. These problems come in many forms: two bodies traveling in opposite directions, two bodies traveling in the same direction, two bodies traveling away from each other or toward each other at right angles. Sometimes the bodies leave at the same time, sometimes one gets a head start. Usually they are traveling at different rates, or speeds. As in all applied problems, the units of measure must be consistent throughout the problem. For instance, if your rates are given to you in miles per hour and your time is given in minutes, you should convert minutes to hours. You could convert miles per hour into miles per minute, but this would be awkward.
Alfi Blog Maret 22, 2026 Admin Bandung IndonesiaDistance Problems
Another common word problem type is the distance problem, sometimes called the uniform rate problem. The underlying formula is d = rt (distancemequals rate times time). From d = rt, we get two other relationships: r = d/t and t = d/r. These problems come in many forms: two bodies traveling in opposite directions, two bodies traveling in the same direction, two bodies traveling away from each other or toward each other at right angles. Sometimes the bodies leave at the same time, sometimes one gets a head start. Usually they are traveling at different rates, or speeds. As in all applied problems, the units of measure must be consistent throughout the problem. For instance, if your rates are given to you in miles per hour and your time is given in minutes, you should convert minutes to hours. You could convert miles per hour into miles per minute, but this would be awkward.
Some work problems require part of the work being performed by one worker before the other worker joins in, or both start the job and one finishes the job. In these cases, the together quantity and one of the individual quantities will not be ‘‘1.’’ Take the time the one worker works alone divided by the time that worker requires to do the job alone, then subtract from 1. This is the proportion left over for both to work together.
Alfi Blog Maret 21, 2026 Admin Bandung IndonesiaSome work problems require part of the work being performed by one worker before the other worker joins in, or both start the job and one finishes the job. In these cases, the together quantity and one of the individual quantities will not be ‘‘1.’’ Take the time the one worker works alone divided by the time that worker requires to do the job alone, then subtract from 1. This is the proportion left over for both to work together.
