What is the value of x
2 answers:
Answer:
Step-by-step explanation:
First, combine and
=
LCM of 4 and 12 is 12, Convert 1/4 and 5/12 to fraction with denominator 12:
Since 3/12 and 5/12 have the same denominator, let's add numerators:
Reduce the fraction 8/12 to lowest term by extracting and canceling out 4,
Multiply both sides by 3, reciprocal of 1/3:
Cancel out 3 and 3:
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Let represent the depth of the miner and equipments elevator, respectively. We know that equipment elevator descends with a velocity of
feet per second, and the miners one descends with a velocity of
feet per second.
If we start counting time () when the equipment elevator begins to descend, after
seconds its depth will be
On the other hand, the miner elevator follows the same rule, but we have to use its velocity, and remember that it starts with a delay of thirty seconds:
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 . Let's plug this value into the two equations:
So, the equipment elevator is 176 feet deep, and the miner elevator is 210 feet deep, and thus this is the deeper one.