A thief escapes and boarded on a truck and traveled at a constant speed of 55kph. Two hours later after the truck left , a policeman pursued the truck at a constant speed of 80kph. How long it did take the policeman to catch up the thief ?
55km/h * 2h = 110 km Head start.
d1 = d2
110 + 55*t = 80t
-25t = -110
t = 4.4 Hours.
4.5s
Well, my friend, let's calculate the time it took for the policeman to catch up to the thief!
Since the thief had a head start of 2 hours, we'll first figure out how much distance he covered in those 2 hours. At a constant speed of 55kph, the thief would have traveled 110 kilometers (2 hours x 55kph).
Now, the policeman is chasing the thief at a speed of 80kph. To catch up, the policeman needs to cover 110 kilometers (the distance the thief covered during the head start).
So, to find out how long it took for the policeman to catch up, we divide the distance by the speed:
110 kilometers ÷ 80kph = 1.375 hours.
Converting into minutes, we get approximately 82.5 minutes. So, it would take the policeman around 1 hour and 22.5 minutes to catch up to the thief.
But hey, don't worry! The policeman will surely catch that mischievous thief, even if he has to make a pit stop for some delicious donuts along the way!
To find out how long it took for the policeman to catch up to the thief, we need to determine the distance the thief traveled during the two hours.
Distance = Speed x Time
The thief traveled at a speed of 55 km/h for 2 hours, so the distance covered is:
Distance = 55 km/h x 2 hours
Distance = 110 km
Now, let's calculate the time it takes for the policeman to catch up to the thief.
The policeman is traveling at a speed of 80 km/h. To cover the distance of 110 km (which the thief already traveled), we can use the formula:
Time = Distance / Speed
Time = 110 km / 80 km/h
Time = 1.375 hours
Therefore, it took the policeman 1.375 hours to catch up to the thief.
To find out how long it took the policeman to catch up to the thief, we need to calculate the time it took for the thief to travel before the policeman started pursuing. Since the thief escaped two hours before the policeman, we can use this information to determine the distance the thief traveled during this time period.
To find the distance traveled, we can use the formula:
Distance = Speed × Time
The thief traveled at a constant speed of 55 kph for two hours. So, the distance traveled by the thief during these two hours is:
Distance = 55 kph × 2 hours = 110 km
Now, the chase begins, and the policeman is traveling at a constant speed of 80 kph. The relative speed between the truck and the police car is the difference between their speeds:
Relative Speed = Speed of Truck - Speed of Police Car
= 55 kph - 80 kph
= -25 kph
Since the truck is ahead of the police car, we take the negative sign to indicate that they are moving in opposite directions.
Now, to find the time it takes for the police car to catch up to the thief, we divide the distance traveled by the relative speed:
Time = Distance / Relative Speed
= 110 km / 25 kph
= 4.4 hours
Therefore, it took the policeman 4.4 hours to catch up to the thief.