Question

Victor left his house at a speed of 18km/hr. When victor was 1/2 km away from his house, his brother Alex left the ouse riding his bike towards Victor at a rate of 24km/hr. How long will it take Alex to catch up to Victor

Answer 1

Answer: it will take Alex approximately 42.86 seconds to catch up to Victor.

Step-1:- To determine the time it will take for Alex to catch up to Victor, we can use the concept of relative speed.

The relative speed = Seed of victor+ Speed of Alex brother

relative speed= 18 km/hr + 24 km/hr = 42 km/hr.

Step-2 :- Since Alex is starting from 1/2 km away from the house, the distance he needs to cover to catch up to Victor is also 1/2 km.

Using the formula: time = distance / speed

therefore time =
`(1/2)/(42)` we can calculate the time it will take for Alex to catch up to Victor:

time =
`(1)/(2) (1)/(42)`/hr = 0.0119 hours or

Now Converting hours into seconds

1 hr = 3600 seconds

0.0119 hr = 0.0119×3600 seconds

Time = 42.86 seconds.