Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
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<em>Alternate Solution</em>
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
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You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
Answer:
4 square feet
Step-by-step explanation:
We can see that the dimensions of the hole in the carpet are 2ft by 2ft. All we have to do is find the area of that shape. Since the two side lengths are the same, and the shape appears to have 4 right angles in each of its corners, we can deduce that the shape is a square. We know that the area of a square can be found by multiplying the length and width measurements of the shape:
2ft * 2ft
= 4 ft²
Answer:
D) 13/100 = 2500/X
Step-by-step explanation:
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Answer is B- you might begin to visualize the story.
