Truck A makes it there first
Step-by-step explanation:
2 trucks traveling 1/4 mile distance
We need to find which truck makes it there first
∵ Distance = speed × time
∴ Time = distance ÷ speed
∵ The two trucks travelling [tex]\frac{1}{4}[/tex] miles
∵ The speed of the first truck = 30 miles per hour
∴ The time of the 1st truck = [tex]\frac{1}{4}[/tex] ÷ 30
∴ The time of the 1st truck = [tex]\frac{1}{120}[/tex] hour
∵ 1 hour = 60 minutes
∵ 1 minute = 60 seconds
∴ 1 hour = 3600 seconds
- Change the time of truck A to seconds
∴ The time of the 1st truck = [tex]\frac{1}{120}[/tex] × 3600
∴ The time of the 1st truck = 30 seconds
∵ The first truck gets 20 second head start
- That means when truck B starts, truck A traveled for 20 seconds
∵ The speed of the 2nd truck = 15 miles per hour
∴ The time of the 2nd truck = [tex]\frac{1}{4}[/tex] ÷ 15
∴ The time of the 2nd truck = [tex]\frac{1}{60}[/tex] hour
- Change the time of truck B to seconds
∴ The time of the 2nd truck = [tex]\frac{1}{60}[/tex] × 3600
∴ The time of the 2nd truck = 60 seconds
∵ The time of truck A to travel 1/4 miles is 30 seconds
∵ It gets 20 seconds head start
- When track B starts to move the time remaining for truck A to
finish the trip is 30 - 20 = 10 seconds
∵ The time of truck B to travel 1/4 miles is 60 seconds
∴ Truck A will finish the trip first
Truck A makes it there first
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