At 7 a.m., Pamela and Kimberly raced off together from the starting point of a track. Pamela ran at an average speed of 2 m/s. Kimberly ran at an average speed of 3 m/s. Upon reaching the end of the track, Kimberly rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 7.45 a.m., Pamela 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 7.45 a.m. = 45 min

Duration that Pamela ran = 45 min
Duration that Kimberly ran = 45 -  6 = 39 min

1 min = 60 s

39 min = 39 x 60 = 2340 s
45 min = 45 x 60 = 2700 s

Distance that Pamela ran
= 2 x 2700
= 5400 m

Distance that Kimberly ran
= 3 x 2340
= 7020 m

Distance that Pamela and Kimberly ran
= 5400 + 7020
= 12420 m

1000 m = 1 km

12420 m = 12420 ÷ 1000 = 12.42 km

(b)
Length of the trail
= 12.42 ÷ 2
= 6.21 km

Answer(s): (a) 12.42 km; (b) 6.21 km