# At 2:00 pm. Car A left manila for Albay at 45km/hr. An hour later, car B went after car A at 60km/hr. At what time will car B overtake car A?

1
by cris18

2016-01-24T11:58:07+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

We will let;
t = time it takes for car A to travel to Albay
We note that car B travels 1 hour less than car A, so
t - 1 =time it takes for car B to travel to Albay

car A travels at 45km/hr while car B travels 60 km/hr.

We will use the formula d = rt where, d is the distance, r is the rate, and t is the time

For car A
d = rt
d = (45km/hr)(t)
d = 45t

For car B
d = rt
d = (60km/hr)(t-1)
d = 60t - 60

We know that car A and car B travels in the same distance but in different speed.
Therefore, we will equate the two equations for car A and car B
d(car A)=d(car B)
45t = 60t - 60
60 = 60t - 45t
60 = 15t
60/15 = t
4 = t
t = 4

Since, Car A travels at 2:00 pm, then car B overtakes car A after 4 hours.
Therefore, the time car B overtake car A is at 6:00 pm.