How long does it take a care traveling 100 mph to catch up to a car traveling 80 mph
Depends how far back the faster car was.
Not enough data.
Leaves 2 minutes after the car at 80 mph passes it
The car traveling 100 mph states from a complete stop
Key point:
When the faster catches the slower , they both went the same distance
let that distance be x miles
time for faster car = x/100
time for slower car = x/80
x/80 - x/100 = 2/60
x/400 = 1/30
30x = 400
x = 40/3 miles
so time for faster car to go the 40/3 miles to catch the slower car
= (40/3) / 100 = .13333.. hr
= 8 minutes
check:
time for slower car
= (40/3) / 80 = .166666 hrs
= 10 minutes, for a difference of 2 minutes
Thanks!
To determine how long it takes for a car traveling at 100 mph to catch up to a car traveling at 80 mph, we need to consider the relative speed between the two cars. The relative speed is the difference between their speeds, which in this case is 100 mph - 80 mph = 20 mph.
To find the time it takes for the faster car to catch up to the slower car, we can use the formula:
time = distance / speed
Since we want to know the time it takes for the faster car to catch up, the distance we want to consider is the distance between the two cars at the beginning. However, since we don't have that information, we can still solve this problem by considering the distance covered by the slower car during the time it takes for the faster car to catch up.
First, we need to calculate how far the slower car travels in this time. To do this, we'll use the formula:
distance = speed × time
Let's assume t is the time it takes for the faster car to catch up.
For the slower car:
distance = (80 mph) × t
Now, we can equate this distance to the relative speed multiplied by the same time:
(20 mph) × t = (80 mph) × t
We can see that t appears on both sides of the equation. However, notice that if we cancel out t from both sides, the equation will become false. This means that the two cars will never meet.
Therefore, with these given speeds, the car traveling at 100 mph will never catch up to the car traveling at 80 mph.