Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving is 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for this first 4 hours of the trip and her dad to drive for the remainder of the trip

Question

Mathematics

Makena Montgomery

12 March, 06:16

Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving is 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for this first 4 hours of the trip and her dad to drive for the remainder of the trip

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Answers (1)

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Aniyah Griffin · Answer 1

Loretta:

Average driving speed = 55 mph

Time = 4 hours

Distance traveled = 55*4 = 220 miles

Dad:

Average driving speed = 65 mph

Let x = hours driven

Distance traveled = 65x miles

The length of the trip is 610 miles, therefore

65x + 220 = 610

65x = 390

x = 6 hours

Answer: Loretta's dad drove for 6 hours.