“An accurate alternation and a bales alternation abandon San Francisco for Los Angeles at the aforementioned time. The boilerplate acceleration of the accurate alternation is 30 mph slower than alert the acceleration of the freight. In two hours, the accurate alternation is 40 afar advanced of the bales train. Acquisition the amount of the express.”
Make a table to analyze the variables. It should accept the words “distance, rate, and time” forth the top. The two traveling methods should be listed at the left:
Fill in the blanks with variables that you can acquisition in the problem. In our problem, the acceleration of the Accurate is authentic in agreement of the Freight.
Distance (in miles)
Rate (in mph)
Time (in hours)
Use the ambit blueprint to accomplish two equations based on the table:
d = r * t
Freight Train: d= r * 2 d = 2r
Express Train: (d 40) = (2r-30) * 2
d 40 = 4r – 60
Substitute and Solve:
Since the aboriginal blueprint tells us that d = 2r, we can acting that in the additional blueprint for the Bales Train:
d 40 = 4r – 60 becomes 2r 40 = 4r – 60 2r = 100 r = 50
The Bales Alternation is activity 50 mph.
Therefore, the Accurate is activity 2(50) –30 = 70 mph.
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