A car traveling 90 km/hr is 100 m behind a truck traveling 50 km/hr. How long will it take
the car to reach the car?
d1 = 0.1 + d2 = 90 t
d2 = 50 t
0.1 + 50 t = 90 t
40 t = 0.1
t = 1/400 = .0025 hr = 9 seconds
To find out how long it will take for the car to reach the truck, we need to calculate the time it will take for the car to cover the 100-meter gap between them.
First, we need to convert the speeds of both the car and the truck from kilometers per hour to meters per second, as the units need to be consistent.
1 kilometer is equal to 1000 meters, and 1 hour is equal to 3600 seconds.
So, the speed of the car in meters per second would be:
(90 km/hr) * (1000 m/km) / (3600 s/hr) = 25 m/s
And the speed of the truck in meters per second would be:
(50 km/hr) * (1000 m/km) / (3600 s/hr) = 13.89 m/s
Now, we can calculate the time it will take for the car to close the 100-meter gap between them.
Time = Distance / Speed
Time = 100 m / (25 m/s - 13.89 m/s) ≈ 7.69 seconds
Therefore, it will take approximately 7.69 seconds for the car to reach the truck.