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:The system of equations to describe the situation are
c + y = 8
6c + 3y = 36
Step-by-step explanation:
Let c represent the number of shirts.
Let y represent the number of caps.
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. This means that
c + y = 8 - - - - - - - - - - -1
They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. This means that
6c + 3y = 36 - - - - - - - - - - 2
Answer:
the answer is 19.06396
Step-by-step explanation:
there is no need for further explanation because the equation is already balanced
You would multiply all of the numbers to get your answer so it would be 4*5*6*8 which would get you 960.
