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Answer:
Velocity (against wind) = 1,890 / 3 = 630 mph
Velocity (with the wind) = 1,890 / 2.5 = 756 mph
Plane speed (still air) = 630 + wind speed
Plane speed (still air) = 756 - wind speed
Adding both equations equals
2 * Plane speed (still air) = 1,386
Plane Speed = 693 mph
Source: https://www.1728.org/veloccal.htm
Step-by-step explanation:
Answer:
a = 6, b = 3
Step-by-step explanation:
5a - 4 = 2a + 14
3a = 18
a = 6
6 = 2b
b = 3
Answer:
Step-by-step explanation:
Let Carl do the job in c days, Anne- in a, and Bob in b days
Then the portion of job they can do is 1/c, 1/a and 1/b
<u>As per given we have below equations:</u>
- 1/c + 1/b= 1/6
- 1/a + 1/b = 1/3
- 1/a + 1/c = 1/5
<u>Sum of all 3 equations gives us:</u>
- 2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
- 2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
- 2(1/a + 1/b + 1/c) = 21/30
- 2(1/a + 1/b + 1/c) = 7/10
- 1/a + 1/b + 1/c = 7/20
It means all three together can complete 7/20 of the job in one day
<u>The rest of the job is done by Anne and Bob:</u>
<u>As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:</u>
<u>Add 1 day to this to find overall time:</u>
- 1 + 39 /20 = 59/20 days or 2.95 days
