Answer:
Jacob finished the race faster than Daniel.
Step-by-step explanation:
We have that,
Daniel completed the hurdle in of a minute i.e. 75% of a minute.
Jacob completed the hurdle with remaining of a minute i.e. 41.7% remaining of a minute.
Now, as we have that,
75% of a minute = 45 seconds
41.7% of a minute = 25 seconds
Since, Jacob had time remaining.
Thus, Jacob had = 60 - 25 = 35 seconds remaining.
So, Daniel ran in 45 seconds and Jacob ran in 35 seconds.
Hence, we get that, Jacob finished the race faster than Daniel.
Jacob
Given:
At a track meet, Jacob and Daniel compete in 220 m hurdles.
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
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Quick Steps
Daniels: in of the a min.
Jacob: in of the a min.
Jacob's time is shorter, so he's the fastest.
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Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.
Keywords: at a track meet, Jacob and Daniel, compete in 220 m hurdles, Daniels, finishes, in 3/4 of the a min, Jacob, finishes, with 5/12 of a min, remaining, who, ran, the race, in faster time, diagram
The solution is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
You spend $50 on supplies and plan to charge $10 per hour.
Your brother spends $30 on supplies and plans to charge $8 per hour.
Let X = hours worked,
and Y = money earned
This is your equation : y = 10x - 50
This is your brothers : y = 8x - 30
Now, we know that you have to work to make the same amount of $$ (y value)
So set it equal to each other, ** 10x-50 = 8x-30 **
10x-8x= -30+50
2x=20
x=10.
The answer is, you'll both have to work for 10 hours to make the same amount of money. That amount of money is $50.
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