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