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stressedstudent6402
13.10.2019 •
Mathematics
Abeaker is completely filled with water. a ball in the shape of a sphere with a radius of 5 centimeters is placed in the beaker and is completely submerged, causing the volume of the water equal to the ball's volume to overflow geometry worksheet
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Ответ:
1 ¹/₉ hours
Step-by-step explanation:
Let's say L is Larry's speed, C is Curly's speed, and M is Moe's speed.
1 = 2 (L + C)
1 = 1 ⅔ (C + M)
1 = 1 (L + C + M)
Solve the system of equations. First, simplify the equations:
1 = 2L + 2C
3 = 5C + 5M
1 = L + C + M
Double the third equation and subtract the first equation from it:
2 = 2L + 2C + 2M
1 = 2L + 2C
1 = 2M
M = 1/2
Plugging into the second and third equations, we get:
C = 1/10
L = 2/5
Therefore, the time it takes Larry and Moe together is:
1 = t (L + M)
t = 1 / (L + M)
t = 1 / (2/5 + 1/2)
t = 1 / (4/10 + 5/10)
t = 1 / (9/10)
t = 10/9
t = 1 ¹/₉ hours
It takes them 1 ¹/₉ hours, or 1 hour 6 minutes 40 seconds.