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miskamm
[114]
2 years ago
6
It takes Franklin 14 hours to make a 200-square-foot cement
Mathematics
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1
answer:
BartSMP
[9]
2 years ago
8
0
F = Franklin (rate) = 200 ft² / 14 hrs = 200/14 ft²/hr = 14.2587 ft²/hr
S = Scott (rate) = 200 ft² / 10 hrs = 200/10 ft²/hr = 20 ft²/hr
Combined . . .
Fx + Sx = 200
(F + S)x = 200
x = 200/(F + S)
(F + S) = 200/14 + 200/10 = 2000/140 + 2800/140 = 4800/140 = 240/7
x = 200/(240/7)
x = 200/240*7 = 20/24*7 = 140/24 = 35/6
<u><em>x = 35/6 hrs = 5 5/6 hrs = 5 hrs 50 min</em></u>
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