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So, under what circumstances If Carol can type 5 pages per hour when she's all by herself, then she can still type 5 pages per hour when she's working with Karl.If Karl can type 2 pages per hour when he's all by himself, then he can still type 2 pages per hour when he's working with Carol.Will they be able to type 7 pages together in one hour? They definitely won't be able to get 7 pages done in one hour.
) Here's an example, where we multiply by $1$ in the form of $\frac22$.
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For example: Three plows working at identical constant rates can clear 123 ft of snow per minute. Note the absolute rate does not change, since we are multiplying top and bottom by 40, so the value is constant.41*40 feet / 40 plow-minutes = 1640 feet / 40 plow-minutes. Learn to Answer GMAT Reading Comprehension Title question 9.
At this rate, how much snow could 8 plows remove in 5 minutes? Grockit, an online test prep game, is the smartest way to study for your test.
In Time and Work problems, a Worker does a Work in specified number of Days, we assume here time unit as a Day.
The main complexity in time and work problems arises when two or more workers with different work capacity work together and we are to find how long they would take to complete the work, working together.Note that when working together, the total time to complete the same task will be less than BOTH of the individual rates, but not necessarily in proportion. A second worker can load the same truck in 7 hours. Keep in mind that the number of workers (at the same efficiency) is inversely proportional to the amount of time it takes one to complete a given task. Feet and minutes are already compared, so all we have to is add “plows” to the expression.Nor, are you averaging or adding the given times taken. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill 1 truck? It may help consider the unit man-hours as the multiplication between workers and time, which is then compared to the work completed. If we divide 123 ft/min by 3 plows, we get:123 ft/minute/3 plows = 41 ft/plow-minute At this rate, if we want to increase minutes to 5 and plows to 8, we can simply insert these into the existing rate.However, you don't typically see $\ \frac$ in a work problem, because it doesn't have a unit of time in the denominator.Consider, for example, the following scenario: Suppose Carol types 5 pages per hour, and Karl types 2 pages per hour. If there's only one typewriter between the two of them, then one will have to wait while the other types.(Note that this agrees with our estimate.) In a work problem, there is some "job" being done.The job must meet the following requirements: -- it could be done by one person working alone; -- or, it could be done by two people working together. Or, two people can mow a lawn together, providing there are two mowers, and the lawn is big enough that they won't get in each other's way. The job might be done by animals, or machines, or ... However, in this discussion, we'll have people do the job, just to keep things simple. It will introduce you to several types of work problems, and develop your intuition for reasonable solutions. Here, we'll choose to round the answer to two decimal places. Together, Carol and Julia can mow the lawn in about 1.33 hours. Whenever possible, get an exact answerdo any needed approximation at the last step only. When together, they will complete 1/6 1/7 trucks/ 1 hour.1/6 1/7 = 6/42 7/42 = 13/42 trucks/1 hour. This means that B will gain on A at a rate of 30 miles every hour. 180 m/hr Relative to Train A, Train B’s velocity is 30 m/hr.