Answered

It takes Franklin 14 hours to make a 200-square-foot cement

patio. It takes Scott 10 hours to make the same size patio. Which

equation can be used to find x, the number of hours it would take

Franklin and Scott to make the patio together?









      

Verified Answer :

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 = 200/2407 = 20/247 = 140/24 = 35/6

x = 35/6 hrs = 5 5/6 hrs = 5 hrs 50 min

veronkene

Answer:

its C 1/14x+1/10x=1

Step-by-step explanation:

just took on ED

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