At 7 a.m., Natalie and Kimberly raced off together from the starting point of a pathway. Natalie ran at an average speed of 1 m/s. Kimberly ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Kimberly rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 7.25 a.m., Natalie met Kimberly.

1. Find the total distance covered by the two runners when they met each other. Express your answer in km.
2. Find the length of the trail in km.

(a)
From 7 a.m. to 7.25 a.m. = 25 min

Duration that Natalie ran = 25 min
Duration that Kimberly ran = 25 -  6 = 19 min

1 min = 60 s

19 min = 19 x 60 = 1140 s
25 min = 25 x 60 = 1500 s

Distance that Natalie ran
= 1 x 1500
= 1500 m

Distance that Kimberly ran
= 4 x 1140
= 4560 m

Distance that Natalie and Kimberly ran
= 1500 + 4560
= 6060 m

1000 m = 1 km

6060 m = 6060 ÷ 1000 = 6.06 km

(b)
Length of the trail
= 6.06 ÷ 2
= 3.03 km

Answer(s): (a) 6.06 km; (b) 3.03 km