Where did the 1.5 and 1.2 came from? And how from the answer for this question? "Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if he had to work alone?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Where did the 1.5 and 1.2 came from?
And how from the answer for this question?

"Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if he had to work alone?"

 

let t = time required by Pedro alone
then
%3D
1.5t = time required by Juan
and
1.2
time required by Pilar
Let the completed job
:
4
4
= 1
+
t
1.5t
1.2t
Multiply equation by 6t, results
6(4) + 4(4) + 5(4) = 6t
24 + 16 + 20 = 6t
60 = 6t
%3D
60
6
t = 10 hrs for Pedro
1.5(10) = 15 hrs for Juan
1.2(10)
%3D
12 hrs for Pilar
Check solution on a calc:
4
4
4
1
10
15
12
Transcribed Image Text:let t = time required by Pedro alone then %3D 1.5t = time required by Juan and 1.2 time required by Pilar Let the completed job : 4 4 = 1 + t 1.5t 1.2t Multiply equation by 6t, results 6(4) + 4(4) + 5(4) = 6t 24 + 16 + 20 = 6t 60 = 6t %3D 60 6 t = 10 hrs for Pedro 1.5(10) = 15 hrs for Juan 1.2(10) %3D 12 hrs for Pilar Check solution on a calc: 4 4 4 1 10 15 12
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