Answer:
Issac need 1.45 hours before he meets Carl
Explanation:
* Lets explain how to solve the problem
* The distance between Isaac and Carl is 155 miles
* Isaac says he will start driving right away
* Carl needs 31.0 min to finish his lunch before he can begin driving.
* Isaac plans to drive at 75.0 mph
* Carl plans to drive at 50.0 mph
* Ignore acceleration and assume the highway forms a straight line
Isaac will move immediately, but Carl needs 31 min to finish his lunch
So, assume that Isaac will spend t hours before meeting Carl
To find the Time of Carl to meet Issac change 31 minutes to hour
⇒ 1 hour = 60 minutes , then 31 minutes = 31/60 = 0.517 hr.
Carl will need t - 0.517 hour before meeting Isaac
The distance between Isaac and Carl is 155 miles
Distance = speed × time
Isaac drives at 75 mph
Carl drives at 50 mph
The distance that Isaac traveled before meeting Carl = 75t
The distance that Carl traveled before meeting Isaac = 50(t - 0.517)
The sum of both distances is the total distance between their locations
⇒ 75t + 50(t - 0.517) = 155
⇒ 75t + 50t - 25.83 = 155 ⇒ add like terms
⇒ 125t - 25.83 = 155 ⇒ add 25.83 to both sides
⇒ 125t = 180.83 ⇒ divide both sides by 125
⇒ t = 1.45
t represent the time that Isaac needs before meeting Carl
Issac need 1.45 hours before he meets Carl
