Two cars AandB travel along the same road in the Sam direction from the Same starting place.Car A maintains
speed of 50km/h and car B 60km/h,but starts one hour later. how many hours will take for B to overtake A?
both go distance d
car A takes time t
car b takes time (t - 1)
d = 50 t
d = 60 (t - 1)
so
50 t = 60 t - 60
10 t = 60
t = 6
To determine how many hours it will take for Car B to overtake Car A, we need to consider the relative speed between the two cars when Car B starts one hour later.
Let's assume that the time it takes for Car B to overtake Car A is represented by 't' hours. During this time, Car A would have been traveling for 't + 1' hours.
Now, let's calculate the distance covered by each car during this time:
Distance covered by Car A = Speed of Car A * Time taken by Car A = 50 km/h * (t + 1) hours = 50t + 50 km
Distance covered by Car B = Speed of Car B * Time taken by Car B = 60 km/h * t hours = 60t km
Since Car B overtakes Car A, their distances covered will be equal:
50t + 50 = 60t
Simplifying the equation:
50 = 10t
t = 5
Therefore, it will take Car B 5 hours to overtake Car A.