Math, asked by raja8954, 1 year ago

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

Answered by amitnrw
35

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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Answered by vinod04jangid
2

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

#SPJ2

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