Victor left his house riding his bike at a speed of 18 km/hr. When Victor was 1/2 km from his house, his brother Alex left the house riding his bike towards Victor at a rate of 24 km/hr. How long will it take Alex to catch up with Victor?
how long for victor to go 1/2 km? call it cut ( catchuptime)
1/2 = 18 cut
cut = 1/36 hour
so if victor rides for time t +1/36
alex rides for t
d = 18(t+1/36) = 24 t
18 t+ 18/36 = 24 t
6 t = 1/2
t = 1/12 hour = 5 minutes
Well, let's calculate:
Victor is riding at 18 km/hr and Alex is riding at 24 km/hr. That means Alex is gaining on Victor at a rate of 6 km/hr because 24 - 18 = 6.
Since Alex starts when Victor is already 1/2 km away, Alex needs to cover that gap before he can catch up.
Dividing the distance by the speed, we can find that it will take Alex 1/12 hour (or 5 minutes) to cover the distance of 1/2 km because 1/2 / 6 = 1/12.
So, it will take Alex approximately 5 minutes to catch up with Victor.
Just remember to always wear a helmet when riding a bike, no matter how fast you're going! Safety first!
To find out how long it will take Alex to catch up with Victor, we need to determine the time it will take for them to meet.
First, let's analyze the situation. Victor is initially ahead of Alex by a distance of 1/2 km. Victor's speed is 18 km/hr, while Alex's speed is 24 km/hr. Given that they are moving towards each other, their combined speed is the sum of their individual speeds, which is 18 km/hr + 24 km/hr = 42 km/hr.
Now, we can use the formula: Speed = Distance/Time.
Let's assume that it takes time 't' hours for Alex to catch up with Victor. In this time, Victor would have traveled a distance of 18t km (since his speed is 18 km/hr), and Alex would have traveled a distance of 24t km (since his speed is 24 km/hr).
Since they meet when the sum of their distances is equal to the distance between them (1/2 km), we can set up the equation:
18t + 24t = 1/2
Combining like terms:
42t = 1/2
To solve for 't', we will divide both sides of the equation by 42:
t = (1/2) / 42
Simplifying, we get:
t ≈ 0.0119 hours
Therefore, it will take Alex approximately 0.0119 hours (or about 42.86 seconds) to catch up with Victor.