At 9 a.m., Fanny and Jade raced off together from the starting point of a course. Fanny ran at an average speed of 1 m/s. Jade ran at an average speed of 2 m/s. Upon reaching the end of the course, Jade rested for 3 minutes. She then immediately ran back along the same route at 2 m/s. At 9.40 a.m., Fanny met Jade.

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 9 a.m. to 9.40 a.m. = 40 min

Duration that Fanny ran = 40 min
Duration that Jade ran = 40 -  3 = 37 min

1 min = 60 s

37 min = 37 x 60 = 2220 s
40 min = 40 x 60 = 2400 s

Distance that Fanny ran
= 1 x 2400
= 2400 m

Distance that Jade ran
= 2 x 2220
= 4440 m

Distance that Fanny and Jade ran
= 2400 + 4440
= 6840 m

1000 m = 1 km

6840 m = 6840 ÷ 1000 = 6.84 km

(b)
Length of the trail
= 6.84 ÷ 2
= 3.42 km

Answer(s): (a) 6.84 km; (b) 3.42 km