At 7 a.m., Fanny and Marion raced off together from the starting point of a course. Fanny ran at an average speed of 2 m/s. Marion ran at an average speed of 3 m/s. Upon reaching the end of the course, Marion rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 7.40 a.m., Fanny met Marion.

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 7.40 a.m. = 40 min

Duration that Fanny ran = 40 min
Duration that Marion ran = 40 -  6 = 34 min

1 min = 60 s

34 min = 34 x 60 = 2040 s
40 min = 40 x 60 = 2400 s

Distance that Fanny ran
= 2 x 2400
= 4800 m

Distance that Marion ran
= 3 x 2040
= 6120 m

Distance that Fanny and Marion ran
= 4800 + 6120
= 10920 m

1000 m = 1 km

10920 m = 10920 ÷ 1000 = 10.92 km

(b)
Length of the trail
= 10.92 ÷ 2
= 5.46 km

Answer(s): (a) 10.92 km; (b) 5.46 km