Maria starts out jogging from Ye Olde Bridge at 8:00 a.m. at a speed of 4 mi/h. Twelve minutes later, Nicole starts out from Ye Olde Bridge and follows the sam

Question

 Maria starts out jogging from Ye Olde Bridge at 8:00 a.m. at a speed of 4 mi/h. Twelve minutes later, Nicole starts out from Ye Olde Bridge and follows the same route.At what constant rate in miles per hour must Nicole run to catch

Maria at 8:42 a.m.?

Answer 1

At 8:42, Maria will have been jogging for 42 minutes.  The distance she will have travelled is:

 

42 / 60 * 4 miles = 2.8 miles

 

Nicole starts 12 minutes later, so she starts at 8:12.  At 8:42 she will have been jogging for 30 minutes.

 

During this time she needs to cover 2.8 miles to catch up with Maria.

 

So, if R is her rate per hour:

 

30 / 60 * R = 2.8

0.5R = 2.8

R = 5.6 mph