A car is traveling 60 mph. A truck leaves 7 minutes later and is traveling 70 mph. How long before truck will pass car?
distancecar= 60*t/60=t
distancetruck=70(t-7)/60 where is in minutes.
at passing, the distances are equal. set them equal and solve for time t.
t=7/6t-49/60
1/6t=49/60
t=4.9 minutes
check my work.
oops, error.
t=7/6 t -49/6
now solve for t
I would do it a different way. Since the car has a 7 Min headstart, traveling at 60mph, you can figure the distance it is ahead of the truck. Then, with the truck overtaking the car, by 10mph, you can figure the time it would take, going 10mph to go this headstart distance.
To find out how long it will take for the truck to pass the car, we need to determine the distance the car travels during the 7 minutes the truck is delayed, and then divide that distance by the relative speed of the truck and the car.
First, let's convert the 7 minutes into hours. Since there are 60 minutes in an hour, we divide 7 by 60:
7 minutes ÷ 60 = 0.117 hours
Next, we calculate the distance the car travels during this time by multiplying its speed (60 mph) by the time (0.117 hours):
Distance = Speed × Time
Distance = 60 mph × 0.117 hours
Distance = 7.02 miles
Now that we have the distance traveled by the car during the 7 minutes, we can calculate how long it will take for the truck to cover this distance. The relative speed between the truck and the car is the difference between their speeds, which is 70 mph - 60 mph = 10 mph.
Finally, to find the time, we divide the distance by their relative speed:
Time = Distance / Relative Speed
Time = 7.02 miles / 10 mph
Time = 0.702 hours
Therefore, the truck will take approximately 0.702 hours, or 42.12 minutes, to pass the car.