Two companies working together can clear a parcel of land in 27 hours. Working alone, it would take Company a 2 hours longer to
clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone?
1 answer:
Answer:
53 hours
Step-by-step explanation:
If A is the time it takes Company A, and B is the time it takes Company B, then:
1/27 = 1/A + 1/B
A = B + 2
Substitute and solve:
1/27 = 1/(B + 2) + 1/B
1/27 = (B + B + 2) / (B (B + 2))
1/27 = (2B + 2) / (B² + 2B)
27 (2B + 2) = B² + 2B
54B + 54 = B² + 2B
0 = B² − 52B − 54
B = [ -(-52) ± √((-52)² − 4(1)(-54)) ] / 2(1)
B = (52 ± √2920) / 2
B ≈ 53.0
It would take Company B approximately 53 hours.
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⭐︎⭐︎
Answer:
YOUR ANSWER IS 35 HOPE THIS HELPS
Step-by-step explanation:
X can be anything greater than 59 or x>59