Question

Randy wants to run half a marathon. Half a marathon is 13.1 miles. if she wants to run the race in 2 hours what rate(in minutes per mile) should she try to maintain for that race? at the 10 mile mark, Randy realizes that her total running time is 90 minutes. has been keeping the pace that she intended?​

Answer 1

Explanation:

Randy wants to run half a marathon that is 13.1 miles long.

She wants to run the race in 2 hours.

1 hour = 60 minutes

2 hours = 60 × 2 = 120 minutes

speed rate (minutes per mile) =
`(time)/(distance)`

=
`(120)/(13.1)`

= 9.16 minutes per mile

She should run each mile in 9.16 minutes.

At the 10 mile mark, Randy realizes that her total running time is 90 minutes.

whereas she was prepared to complete 10 miles in (9.16 × 10) = 91.6 minutes.

So Randy has been faster than her intended pace.

Answer 2

9.16 minutes per mile

At 10 miles, she is short of her intended rate

Explanation:

2 hours means 60 * 2 = 120 minutes

Randy aims to run 13.1 miles in 120 minutes. So to get the rate [min/mi], we must divide total minutes by total miles:

120/13.1 = 9.16 minutes per mile

Moreover, she realized at 10 miles, she has taken 90 minutes. So her rate at that point [min/mi] is:

90/10 = 9 min/mi

Well, Randy is short of her intended rate