Erik took a trip to see his friend Mike who lives 308 miles away. He left his place at 10 AM driving at 70 mph. In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. At what time will they meet?

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

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step-by-step explanation: