age
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work
Jane, Paul and Peter can shade painting the fencing in 2 hours. If Jane does the job exclusively she can finish it in 5 hours. If Paul does the job al sensation he can finish it in 6 hours. How long get out it take for Peter to finish the job alone?
base:
spirit 1: Assign shiftings:
Let x = condemnation taken by Peter
Step 2:Â Use the jurisprudence:
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Step 3:Â Solve the equation
Multiply both sides with 30x
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tell: The while taken for Peter to paint the fence alone is [pic] hours
motion
John and Philip who live 14 miles apart start at noon to walk toward each other at order of 3 mph and 4 mph respectively. In how many another(prenominal) hours will they meet?
Solution:
Let x = time walked.
| |r |t |d |
|John |3 |x |3x |
|Philip |4 |x |4x |
3x + 4x = 14
7x = 14
x = 2
They will meet in 2 hours.
In a quadrilateral two angles be be. The third angle is equal to the kernel of the two equal angles. The fourth angle is 60° less than twice the sum of the other three angles.
Find the measures of the angles in the quadrilateral.
Solution:
Step 1:Â Assign variables:
Let x = size of one of the two equal anglesÂ
Sketch the figure
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Step 2: save up down the sum of angles in quadrilateral.
The sum of angles in a quadrilateral is 360°
Step 3:Â Plug in the set from the question and from the sketch.
360 = x + x + (x + x) + 2(x + x + x + x) 60
intermix like termsÂ
360 = 4x + 2(4x) 60Â
360 = 4x + 8x 60Â
360 = 12x 60
Isolate variable x
12x = 420
x = 35
The question requires the values of all the angles.
Substituting x for 35, you will get: 35, 35, 70, 220
Answer: The values of the angles are 35°, 35°, 70° and 220°If you want to get a wide-eyed essay, order it on our website: Ordercustompaper.com
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