# 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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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.

How long would it take to paint the house if they worked together?

Step 2: Solve the equation created in the first step.

Now as he did 1/6th of the work, he should be paid 1/6th of the money i.e. Here using the unit’s approach, you make your calculations simple and you can solve the question without writing much.

You can make it a point to use this approach in time work problems.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.They do 2 3 = 5 units a day working together, thus they would have finished 90 units in 90/5 = 18 days.Hence the total work was finished in 18 10 = 28 days.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.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.Sol: The payment made to anybody is in the proportion of the work done and not in the ratio of days spent.Using work and time formula in 24 days working alone A & B would have done 24/48 = 1/2 and 24/72 = 1/3 of the work.

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