Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together. mc025-1.jpg How long will it take Ted and Jacob to clear the field together?
Answers
Ted and Jacob will take 1.2 hrs to clear the field together
Step-by-step explanation:
Ted can clear a football field of debris in 3 hours
=> Ted can clear a football field of debris in 1 hour = 1/3
Jacob can clear a football field of debris in 2 hours
=> Jacob can clear a football field of debris in 1 hour = 1/2
t is the number of hours it would take to clear the field together
=> Ted & Jacob can clear a football field of debris in 1 hour = 1/t
Ted & Jacob can clear a football field of debris in 1 hour = 1/3 + 1/2
=> 1/3 + 1/2 = 1/t
multiplying by 6t both sides
=> 2t + 3t = 6
=> 5t = 6
=> t = 1.2
Ted & Jacob can clear a football field in = 1.2 hrs
Ted and Jacob will take 1.2 hrs to clear the field together
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Answer:
Step-by-step explanation:
Ted can clear a football field of debris in 3 hours
= Ted can clear a football field of debris in 1 hour = 1/3
Jacob can clear a football field of debris in 2 hours
= Jacob can clear a football field of debris in 1 hour = 1/2
X is the number of hours it would take to clear the field together
= Ted & Jacob can clear a football field of debris in 1 hour = 1/X
Ted & Jacob can clear a football field of debris in 1 hour = 1/3 + 1/2
= 1/3 + 1/2 = 1/X
multiplying by 6t both sides
=> 2X + 3X = 6
=> 5X = 6
=> X = 1.2
Ted & Jacob can clear a football field in = 1.2 hrs
hope you understand
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