At 10 a.m., Fanny and Rachel raced off together from the starting point of a pathway. Fanny ran at an average speed of 1 m/s. Rachel ran at an average speed of 3 m/s. Upon reaching the end of the pathway, Rachel rested for 5 minutes. She then immediately ran back along the same route at 3 m/s. At 10.50 a.m., Fanny met Rachel.

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 10.50 a.m. = 50 min

Duration that Fanny ran = 50 min
Duration that Rachel ran = 50 -  5 = 45 min

1 min = 60 s

45 min = 45 x 60 = 2700 s
50 min = 50 x 60 = 3000 s

Distance that Fanny ran
= 1 x 3000
= 3000 m

Distance that Rachel ran
= 3 x 2700
= 8100 m

Distance that Fanny and Rachel ran
= 3000 + 8100
= 11100 m

1000 m = 1 km

11100 m = 11100 ÷ 1000 = 11.1 km

(b)
Length of the trail
= 11.1 ÷ 2
= 5.55 km

Answer(s): (a) 11.1 km; (b) 5.55 km