When will car B catch up to car A?

Omar Phipps: Car B is traveling 4 mph faster than Car A. So that means that every hour Car B gains 4 miles on Car A. For example, if Car B and Car A started from the same place at the same time, Car B would be 4 miles ahead of Car A after 1 hour, and 8 miles ahead after 2 hours.Now, Car A passes the gas station half an hour before Car B. During that time, Car A has traveleddistance = speed * timedistance = 100 * 1/2 (30min = 1/2 hr)distance = 50mi(Remember that when you're multiplying things together you keep the units the same.)That means that when Car B passes the gas station, Car A is 50 miles ahead of Car B.As previously stated, Car B gains 4 miles on Car A every hour. Then, how long does it take for Car B to catch up to car A, or in other words, how long does it take for Car B to gain 50 miles on Car A?distance = rate * time50 = 4 * timetime = 50/4time = 12.5It takes Car B 12 and a half hours to catch up to Car A. Therefore Car B will catch up to Car A at 11:20 pm...! .Show more