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1 answer:
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Answer:
Step-by-step explanation:
Given that:
Same distance is drilled by the oil drilling company for 5 days.
Initial elevation = 121.175 feet
Final elevation = -246.875 feet
To find:
The equation to find the value of i.e. the distance drilled each day?
Solution:
To find the distance drilled each day, we need to divide the total distance drilled with the number of days taken to drill the total distance.
Total distance drilled can be found by subtracting the initial elevation from the final elevation and taking modulus because distance can not be negative.
Total distance drilled = | Final elevation - Initial elevation |
Total distance drilled = | -246.875 - 121.175 |
Therefore, we can write the expression as:
Answer:
Year 2030.
Step-by-step explanation
In 1997, Let Tim's age = <em>X</em> years
In 1997, Let Sue's age = <em>Y</em> years
After 5 years in 2002, Tim's age = (<em>X+ 5) </em>years
After 5 years in 2002, Sue's age = <em>(Y + 5)</em> years
Now, According to question,
<em>X </em>+ <em>Y</em> = 32 (sum of their ages) .......(1)
<em>Y </em>= 32 -<em> X</em>
(X + 5) = 2 (Y + 5) .......(2)
Substituting the value of <em>Y</em> in (2)
<em>X </em>+ 5 = 2 (32 - <em>X </em>+ 5)
<em>X </em>+ 5 = 2 (37 - <em>X </em>)
<em>X </em>+ 5 = 74 - 2<em>X </em>
3<em>X </em>=<em> </em>69
<em>X </em>= 69/3 = 23
Now ∵<em> Y</em> = 32 - <em>X </em>and<em> X = </em>23
∴ <em>Y</em> = 32 - 23 = 9
So, In 1997, Tim's age = 23 years and Sue's age = 9 years.
Let the year in which Sue's age will be three-fourth times of Tim's age be t.
Sue's age after<em> t </em>years = (9 +<em> t) </em>years.
Tim's age after<em> t</em> years = (23 + <em>t</em>) years
According to question,
<em></em>
<em></em>
The Year in which Sue's age will be three-fourth times of Tim's age is:
= (1997 + 33) = 2030.