Time Problem Solving

Justin can complete the project by himself in 6 hours, Jason can complete the project by himself in 9 hours, and Jacob can complete the project by himself in 8 hours.

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Together they finished the work in 8 days means they are doing 120/8 = 15 units a day. Example 4: If machine X can produce 1,000 bolts in 8 hours and machine Y can produce 1,000 bolts in 24 hours. (1/36) (1/48) (1/72) (1/16) That also implies that A, B and C’s one day’s work will be half of this i.e.

In how many hours can machines X and Y, working together at these constant rates, produce 1,000 bolts? (1/2) x (1/16) = (1/32) From here it can found that they will complete the work in 32 days.

Step 1: A problem involving work can be solved using the formula , where T = time working together, A = the time for person A working alone, and B = the time for person B working alone.

In this case, one pipe is filling the pool and the other is emptying the pool so we get the equation: Step 2: Solve the equation created in the first step.

This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Example 2 – Tom and Jerry have to stuff and mail 1000 envelopes for a new marketing campaign. If Tom helps, they can get the job done in 4 hours.

How long would it take Tom to do the job by himself?In math, distance, rate, and time are three important concepts you can use to solve many problems if you know the formula.Distance is the length of space traveled by a moving object or the length measured between two points. Time is the measured or measurable period during which an action, process, or condition exists or continues.Or Besides that one more approach can be applied in the work and time questions i.e. Time and work short tricks can be applied in this case, as the numbers used are 8 hours & 12 hours, let the work be equal to 24 units (which is the LCM of 8 & 12).Now as they finish the work in 8 hours working together, that implies together they do 24/8 = 3 units an hour.In this case, as the numbers used are 60 & 40, let the work be equal to 120 units.That implies A does 120/60 = 2 units a day, whereas B alone does 120/40 = 3 units a day.This can be done by first multiplying the entire problem by the common denominator and then solving the resulting equation. Click Here for Practice Problems Example 3 – One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.How long would it take to fill the pool if both pipes were accidentally left open?That means they together did 1/2 1/3 = 5/6th of the work.Remaining 1/6th of the work must be done by C, the only person present. In this article we learned, how to solve the time and work questions by applying the basic time and work formula and by using the unit’s approach.

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