Respuesta :
Answer:
The total distance of the round trip was 4 miles
Step-by-step explanation:
1. Let's check all the information given to answer the question correctly:
Speed of Dave walking to his friend's house = 4 mph
Speed of Dave biking from his friend's house = 10 mph
Time walking is 18 minutes longer than time biking
2. What was the total distance of the round trip?
Time walking = x
Time biking = x - 18
For solving x, we will use the following equation:
4x = 10 * (x - 18)
4x = 10x - 180
-6x = - 180
x = -180/-6 (Dividing by - 6)
x = 30
Dave walked 30 minutes and biked 12 minutes, now we can calculate the total distance, this way:
30 minutes = 0.5 hours and 12 minutes = 0.2 hours
Total distance = 4 * 0.5 + 10 * 0.2
Total distance = 2 + 2
Total distance = 4 miles
The total distance of the round trip can be calculated by creating the system equation as per the given statement.
The total distance is [tex]4 \:\rm mile[/tex].
Given:
The speed of Dave walked to his friend's house is [tex]4 \:\rm mph[/tex].
The speed of Dave returned back biking is [tex]10\:\rm mph[/tex].
As per the given statement he took 18 min longer to walk.
Let the walking time is [tex]x[/tex], and biking time is [tex]x-18[/tex].
As per given statement, write the system equation.
[tex]4x=10\times (x-18)\\-6x=-180\\x=30[/tex]
Thus, the Dave's walked time is [tex]30 \:\rm min[/tex].
Now, Dave's biking time is [tex]x-12=30-12=18\:\rm min[/tex].
Convert the the minute to hour.
[tex]1 \:\rm min=\frac{1}{60}\rm \:min\\30 \:\rm min=\frac{30}{60}\rm \:min\\\\30 \:\rm min=\frac{1}{2} \rm \:hour\\12\:\rm min=\frac{12}{60} \rm \:hour\\12\:\rm min=\frac{1}{5} \rm \:hour[/tex]
Calculate the total distance covered by Dave.
[tex]\:\rm Total\: Distance=4\times\frac{1}{2}+10\times \frac{1}{5}\\\:\rm Total\: Distance=4 \:\rm miles[/tex]
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