Answer:
They will meet each other at 01 : 24 PM
Explanation:
Distance = Speed × Time
When two person travel towards each other and start at the same time, then the distance between them is the sum of the distance each one will travel.
∵ Erik took a trip to see his friend Mike who lives 308 miles away
∴ The distance between Eric and Mike = 308 miles
∵ Eric left his place at 10 AM driving at 70 mph
∴ Eric's speed = 70 miles/hour
After two hours Mike left his place driving towards Erik
Assume that Eric's time is t hours
∵ Eric's time = t hours
∵ Mike started after Eric by two hours
∴ Mike's time = t - 2
∵ Mike drove at an average speed of 50 mph
∴ Mike's speed = 50 miles/hour
∵ Eric's distance + Mike's distance = 308
∵ Distance = Speed × Time
∴ Eric's distance = 70 × t = 70 t miles
∴ Mike's distance = 50 × (t - 2) = 50(t) - 50(2) = 50 t - 100 miles
∴ 70 t + 50 t - 100 = 308
- Add the like terms in the left hand side
∴ 120 t - 100 = 308
- Add 100 to both sides
∴ 120 t = 408
- Divide both sides by 120
∴ t = 3.4 hours
∵ 1 hour = 60 minutes
∴ 0.4 × 60 = 24 minutes
∴ t = 3 hours and 24 minutes
∴ They meet each other after 3 hours and 24 minutes from
Eric started time
∵ Eric started at 10 AM
- Add 3 hours after 10 ⇒ 11 AM , 12 AM , 01 PM, then add 24 minutes
∴ They will meet each other at 01 : 24 PM