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Mamont248 [21]
3 years ago
10

Ruth’s car traveled 120 miles during the first race.During the second race it traveled 124 miles.If the car averaged 123 miles o

ver the first three races how far did it travel during the third race?
Mathematics
1 answer:
jasenka [17]3 years ago
8 0
During the third race, the car traveled 145 miles.
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A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second.
Ad libitum [116K]

Let d_m,\ d_e represent the depth of the miner and equipments elevator, respectively. We know that equipment elevator descends with a velocity of v_e = 4 feet per second, and the miners one descends with a velocity of v_m = 15 feet per second.

If we start counting time (t=0) when the equipment elevator begins to descend, after t seconds its depth will be

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d_m(t) = v_m(t-30) = 15(t - 30)

Now, we have to wait the 30 seconds of delay, and then another 14 seconds. This means that we want to know the positions of both elevators when t = 44. Let's plug this value into the two equations:

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