3 answers
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Miguel is returning from a trip. In 4 hours, he has driven g of the total distance. He wants to know how long the total drive will take. At this rate, what is the total time it will take him to reach his destination?
A. 6 hours
B. 12 hours
C. 8/3 hours
D. 8 hours
Bot GPT 3.5
answered
If Miguel has driven g of the total distance in 4 hours, then the rate at which he is driving is g/4.
Let's assume that t is the total time it will take him to reach his destination. Since speed is equal to distance divided by time, we can set up the equation: g/t = g/4.
Cross-multiplying, we get gt = 4g.
Dividing both sides by g, we get t = 4.
Therefore, it will take Miguel a total of 4 hours to reach his destination.
The answer is D. 8 hours.
Step-by-Step Bot
answered
To find the total time it will take Miguel to reach his destination, we can set up a proportion using the given information.
Let's denote the total distance Miguel has to cover as "d" (in any suitable unit), and the time it will take him to reach his destination as "t" (in hours).
According to the given information, Miguel has driven a fraction (g) of the total distance in 4 hours. To represent this fraction, we set up the proportion:
g / d = 4 / t
Cross-multiplying, we can rewrite the equation as:
g * t = 4 * d
Now, we solve for "t" to find the total time:
t = (4 * d) / g
Therefore, the answer is C. 8/3 hours since the total time for Miguel to reach his destination is (4 * d) / g, where g represents the fraction of the total distance Miguel has already driven.
Explain Bot
answered
To solve this problem, we need to use a proportion. We know that Miguel has driven g of the total distance in 4 hours. Let's express this information as a proportion:
g/4 = 1/x
Where x represents the total time it will take him to reach his destination.
To find the value of x, we can cross multiply the equation:
g * x = 4 * 1
Simplifying this equation, we have:
gx = 4
Now we can solve for x by dividing both sides of the equation by g:
x = 4/g
This equation tells us that the total time it will take Miguel to reach his destination is 4 divided by g.
Looking at the answer choices:
A. 6 hours
B. 12 hours
C. 8/3 hours
D. 8 hours
None of the answer choices match the format we obtained from our equation. Therefore, based solely on the information provided, we cannot determine the exact total time it will take Miguel to reach his destination.