At 10 a.m., Raeann and Victoria raced off together from the starting point of a path. Raeann ran at an average speed of 2 m/s. Victoria ran at an average speed of 3 m/s. Upon reaching the end of the path, Victoria rested for 4 minutes. She then immediately ran back along the same route at 3 m/s. At 10.30 a.m., Raeann met Victoria.

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 10 a.m. to 10.30 a.m. = 30 min

Duration that Raeann ran = 30 min
Duration that Victoria ran = 30 -  4 = 26 min

1 min = 60 s

26 min = 26 x 60 = 1560 s
30 min = 30 x 60 = 1800 s

Distance that Raeann ran
= 2 x 1800
= 3600 m

Distance that Victoria ran
= 3 x 1560
= 4680 m

Distance that Raeann and Victoria ran
= 3600 + 4680
= 8280 m

1000 m = 1 km

8280 m = 8280 ÷ 1000 = 8.28 km

(b)
Length of the trail
= 8.28 ÷ 2
= 4.14 km

Answer(s): (a) 8.28 km; (b) 4.14 km