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Answer :
Final answer:
To find how long it took Daniel to arrive at the beach, we first calculated Morgan's travel time based on her speed and distance, then used the relationship between their travel times. It was determined that Daniel took 187 minutes to reach the beach.
Explanation:
The student's question involves determining how long it took Daniel to arrive at the beach given the time it took Morgan to get there and the relationship between Daniel and Morgan's travel times. To solve this, we can use the provided information that Morgan drove at 36 mph and lives 132 miles away from the beach to find out Morgan's travel time. Afterward, we can use the information about Daniel's travel time being 253 minutes less than two times Morgan's time to calculate Daniel's travel time.
First, calculate Morgan's travel time: Travel time = Distance ÷ Speed = 132 miles ÷ 36 mph = 3.67 hours.
Convert Morgan's travel time to minutes: 3.67 hours * 60 minutes/hour = 220 minutes.
Calculate two times Morgan's travel time in minutes: 2 * 220 minutes = 440 minutes.
Subtract 253 minutes from 440 minutes to find Daniel's travel time: 440 minutes - 253 minutes = 187 minutes.
Convert Daniel's travel time back to hours if needed: 187 minutes ÷ 60 minutes/hour = 3.12 hours.
Therefore, it took Daniel 187 minutes or approximately 3.12 hours to arrive at the beach.
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Answer:
It took 187.4 minutes to arrive Daniel at the beach.
Step-by-step explanation:
Given:
Daniel and Morgan both live 132 miles away from the beach it took Daniel 253 minutes less than two times the time it took Morgan to reach the beach.
Morgan drove at 36 mph.
Now, to find the time it take Daniel to arrive at the beach.
Let the time taken by Morgan be [tex]x.[/tex]
And the time taken by Daniel is [tex]2x-253.[/tex]
Distance = 132 miles.
Speed = 36 mph.
Now, to get the time taken by Morgan by putting the formula:
Distance = Speed × time
[tex]132=36\times x[/tex]
Dividing both sides by 36 we get:
[tex]3.67=x\\x=3.67\ hours.[/tex]
So, the time taken by morgan = 3.67 hours.
Thus, we convert the time into minutes:
[tex]3.67\times 60\\=220.2\ minutes.[/tex]
Now, the time taken by Daniel, we get by substituting the value of [tex]x[/tex]:
[tex]2x-253\\=2\times 220.2-253\\=440.4-253\\=187.4\ minutes.[/tex]
Therefore, it took 187.4 minutes to arrive Daniel at the beach.
