Answer:
Erik and Mike will meet at 1:24 PM
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance between Erik and Mike = 308 miles
Speed that Erik drove = 70 mph
Time Erik left = 10 AM
Speed that Mike drove = 50 mph
Time Mike left = 12 PM
2. At what time will they meet?
For answering the question, let's find how much miles Erik drove at 12 PM, when Mike started to drive towards Erik:
Miles driven by Erik after two hours = Speed * Time
Miles driven by Erik after two hours = 70 * 2
Miles driven by Erik after two hours = 140
Now we can calculate the distance between Erik and Mike at 12 PM, this way:
308 - 140 = 168
At 12 PM the distance between Erik and Mike is 168 miles
t = time it takes Erik and Mike to meet
The equation to solve for t is:
Distance Erik will travel = 70t
Distance Mike will travel = 50t
70t + 50t = 168
120t = 168
t = 168/120
t = 1.4 hours
1.4 hours = 1 hour + 4/10 * 60 minutes = 1 hour + 24 minutes
Time of the day Erik and Mike will meet = 12 PM + 1 hour and 24 minutes
Time of the day Erik and Mike will meet = 1:24 PM
