Q:

Two cars left the same place moving in opposite directions, the first car at 65mph and the second 2.5mph faster. When will they be 268 miles apart?

Accepted Solution

A:
Answer: Approximately after 2 hours the distance between the two cars will be 268 miles.Solution:We know [tex]distance = speed\times time[/tex].Here it is given that the speed of Car 1 is 65 mph and the speed of car 2 is 2.5 mph faster than car 1. It means that the speed of car 2 is (65+2.5) = 67.5 mphWe will use the below given equation to find out the time after which the distance between the two cars will be 268 miles.Let β€˜t’ be the time after which the distance between the two car will be 268 miles.∴ A/Q, Β [tex]65t + 67.5t = 268[/tex][tex]132.5t = 268[/tex][tex]t = \frac{268}{132.5}[/tex][tex]t = 2.02 hour[/tex]Therefore, approximately after 2 hour the distance between the two cars will be 268 miles.