SOLUTION: Solve each problem. Answers could be rational expressions. Be sure to give your answers with appropriate units.
82.) Driving marathon. Felix drove 800 miles in x hours on Monday
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82.) Driving marathon. Felix drove 800 miles in x hours on Monday
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Question 164395This question is from textbook Elementary and Intermediate
: Solve each problem. Answers could be rational expressions. Be sure to give your answers with appropriate units.
82.) Driving marathon. Felix drove 800 miles in x hours on Monday.
a.) Write a rational expression for his average speed.
b.) On tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday. This question is from textbook Elementary and Intermediate
You can put this solution on YOUR website! To find the average speed, divide the total miles by the total hours.
D = distance
r = rate = speed
t = time (in hours)
(82) Driving marathon. Felix drove 800 miles in x hours on Monday.
(a) Write a rational expression for his average speed.
Let D = 800
Let t = hour = x in your question
Then we have this:
800 = rx
We divide both sides by x to express the average speed.
800/x = r....Notice that 800/r is a rational expression. The word rational means fraction.
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(b) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
Here we are searching for distance.
Let D = distance
Let r = rate = speed
Let t = time (in hour) = x
D = xr
D = 6r....This is not a rational expression. At the beginning of your question we read "Answers could be rational expressions." This means if they could be rational, they could also not be rational. This is the case for part (b).
D = 6r is a linear equation not rational.
Get back to me if you have any questions about my reply.
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