At 10 a.m., Winnie and Nora raced off together from the starting point of a pathway. Winnie ran at an average speed of 2 m/s. Nora ran at an average speed of 3 m/s. Upon reaching the end of the pathway, Nora rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 10.40 a.m., Winnie met Nora.

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 10.40 a.m. = 40 min

Duration that Winnie ran = 40 min
Duration that Nora 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 Winnie ran
= 2 x 2400
= 4800 m

Distance that Nora ran
= 3 x 2040
= 6120 m

Distance that Winnie and Nora 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