New Algebra Question! Will no one help me?
10.15] Terrell and Mindi are organizing a neighborhood skateboarding competition. They need to build two mini ramps. Terrell can build the ramps in 15 hours. Mindi can build the ramps in 20 hours. Which shows the equation and solution for the time it will it take Terrell and Mindi to build the ramps if they work together? Round your answer to the nearest hour, if necessary. 2 equals the quantity 2 over 15 plus 2 over 20, end quantity, times t; 9 hours 1 equals the quantity 2 over 15 plus 2 over 20, end quantity, times t; 4 hours 2 equals the quantity 15 over 2 plus 20 over 2, end quantity, times t; 4 hours 1 equals the quantity 15 over 2 plus 20 over 2, end quantity, times t; 9 hours
P.S. I know it is 2 hours. :D
The first problem is a typical "work" problem that you see in algebra. (You'll know a problem is a work word problem if you are given the working rates of two or more people and are asked to find how fast the job will be done if those two or more people work together.) Luckily, there's a handing "work" formula that can get the job done quickly: Number of Jobs/Time to Complete + Number of Jobs/Time to Complete = Combined Number of Jobs/Combined Time to Complete. In this example, Terrell is performing two tasks and can complete those task in 15 hours. Therefore, his Number of Jobs/Time to Complete would be 2/15. Mindi can complete the two tasks in 20 hours. Therefore, her Number of Jobs/Time to Complete would be 2/20 (or 1/10 if you simplify). If they worked together, they would still be creating two ramps, so their combined number of tasks would be 2. Now we just plug all that information in the formula to get 2/15 + 1/10 = 2/x, where x would be the total amount of time it would take the two working together. If you solve for x in that equation, you will get approximately 8.57 hours, the answer.
Ok, thx! :)
welcome @MiaKitty
All I know is that it is a or c. :)
Though. :)
:-)
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