Question

At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a while, Jackie gets tired and decided to rent a bike to get to the south end of the trail. She cycles at an average speed of 15 mph. If Jackie gets to the south end of the trail in two hours, how far did she walk? (Round to two decimal places)

Answer 1

• 3.08 miles

Explanation:

• Total distance = 10 miles
• Total time = 2 hours
• Distance walked = x
• Speed walked = 2 mph
• Distance cycled = 10 - x
• Speed cycled = 15 mph

Using the given data we can have the equation below to the time:

• x/2 + (10 - x)/15 = 2
• 30x/2 + 30(10 - x)/15 = 30(2)
• 15x + 20 - 2x = 60
• 13x = 60 - 20
• 13x = 40
• x = 40/13
• x = 3.08 miles rounded to 2 decimal places