HELP ILL GIVE BRAINIEST THIS MY LAST QUESTION!

Jim and Regina can complete one job in 4 hours when working together. When working alone, Jim works twice as quickly as Regina.

• How long will it take each of them to do the job when working alone? Show all work supporting your answer.

• If Regina works as quickly as Jim, how long will it take both of them to do the job working together? Show all work supporting your answer.

Respuesta :

Answer:

  • Jim = 6 hours
  • Regina = 12 hours
  • Together at same rate = 3 hours

Step-by-step explanation:

  • Let Jim's speed  is J and Regina's speed is R and the work is W

We have:

  • (J + R)*4 = W
  • J = 2R

Substitute J with 2R:

  • (2R + R)*4 = W
  • 12R = W

Regina needs 12 hours to complete work

and

Substitute R with J/2:

  • (J + J/2)*4 = W
  • 6J = W

Jim needs 6 hours to complete same work

If Regina works as quickly as Jim:

  • J + R = 2J

Then

Jim can complete 1/6 of work in one hour, they both can complete twice work:

  • 1/6*2 = 1/3

Time to complete work:

  • 1: 1/3 = 3 hours

Answer:

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