Question

Olivia leaves New York City at 9:00am, traveling to Charlotte, NC, at an average rate of 55 miles per hour. Ben leaves one hour later than Olivia and follows Olivia's route at an average rate of 65 miles per hour. At what time will Ben catch up to Olivia?

Answer 1

2.30 PM

Step-by-step explanation:

Olivia has a 1hr head start of Ben. While traveling at 55 mph she will have covered a distance of;

55 * 1 = 55 miles

Then Ben begins to travel at 65 mph which is

65 – 55 = 10 mph

Faster than Olivia.

This means that Ben will be closing in on the 55 miles head-start made by Olivia by 10 mph. To find out after how long Ben will completely close the gap;

55 / 10 = 5.5 hours

0.5 hours in minutes is;

5/10 *60 = 30 minutes

Ben will catch up to Olivia on;

9.00 + 5.30 = 14.30

= 2.30 PM

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