Delivery boys max and sam each have 1350 newspapers to deliver. max can deliver 75 more newspapers each hour than sam, and finishes his job 1.5 hours faster. how long does each boy take to deliver their newspapers?
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3 answers · Mathematics
Best Answer
Speed of Max—x:
1,350/x = 1,350/(x - 75) - 3/2
1,350(2x - 150) = 1,350(2x) - 3(x[x - 75])
2,700x - 202,500 = 2,700x - 3x² + 225x
3x² - 225x = 202,500
x² - 75/2x = 67,500 + (- 75/2)²
x² - 75/2x = (270,000 + 5,625)/4
(x - 75/2)² = 275,625/4
x - 75/2 = 525/2
x = 600/2 or 300
Speed of Sam:
= 300 - 75
= 225
Answer: Max, 300 newspapers per hour; Sam, 225 newspapers per hour
Proof—1.5 hour difference:
= 1,350/225 - 1,350/300
= 6 - 4.5
= 1.5
Sam's speed: s per hour Max's speed: s + 75 per hour Sam's time: h hours Max's time: h − 1.5 hours 1350 / s = h 1350 / (s + 75
Best Answer
Speed of Max—x:
1,350/x = 1,350/(x - 75) - 3/2
1,350(2x - 150) = 1,350(2x) - 3(x[x - 75])
2,700x - 202,500 = 2,700x - 3x² + 225x
3x² - 225x = 202,500
x² - 75/2x = 67,500 + (- 75/2)²
x² - 75/2x = (270,000 + 5,625)/4
(x - 75/2)² = 275,625/4
x - 75/2 = 525/2
x = 600/2 or 300
Speed of Sam:
= 300 - 75
= 225
Answer: Max, 300 newspapers per hour; Sam, 225 newspapers per hour
Proof—1.5 hour difference:
= 1,350/225 - 1,350/300
= 6 - 4.5
= 1.5
Sam's speed: s per hour Max's speed: s + 75 per hour Sam's time: h hours Max's time: h − 1.5 hours 1350 / s = h 1350 / (s + 75
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