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originalbeast6p2799m
12.10.2020 •
Mathematics
Greg and Marti are racing remote control cars. The race starts at t=0 and the cars distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.
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Ответ:
Step-by-step explanation:
Continuation of question:The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.Table is attached SolutionGreg
Speed = 13 ft/sStart point = 30.7 ft from start line after 2 secondsDistance from start line after 10 seconds:
30.7 + 13*(10 - 2) = 30.7 + 13*8 = 30.7 + 104 = 134.7 ftMarti
Speed = 16.5 ft/sStart point = 2 ft from start lineDistance from start line after 10 seconds:
2 + 10*16.5 = 2 + 165 = 167 ftComparing distances from the start line, 134.7 ft vs 167 ft, Marti is farthest from the start line and he is the winner.
Ответ:
Part A
The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1
Part B
It would take Lara 18 hours to clean the tank if she works by herself
Step-by-step explanation:
Part A
The time it takes Kevin to clean an aquarium tank alone = 9 hours
The time it takes Kevin and Lara to clean the tank together = 6 hours
Let '1/x' represent Lara's cleaning rate, we have;
The time it would take Lara to clean 1 tank alone = 1/(1/x) = x
Kevin's cleaning rate, y = 1/9 tank per hour
The number of tanks, z = tank
The total time it takes both of them to clean the tank, t = 6 hours
Therefore, we get;
t × y + t × 1/x = z
When t = 6, y = 1/9, and z = 1, we get;
6 × (1/9) + 6·(1/x) = 1
Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;
6/9 + 6·(1/x) = 1
6/9 + 6/x = 1
Part B
Solving the rational equation gives;
1/x = (1 - 6/9)/6 = 1/18
∴ 1/x = 1/18)
∴ x = 18
The time it would take Lara to clean the tank if she worked by herself, x = 18 hours