At 9 a.m., Winnie and Jane raced off together from the starting point of a pathway. Winnie ran at an average speed of 1 m/s. Jane ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Jane rested for 3 minutes. She then immediately ran back along the same route at 4 m/s. At 9.45 a.m., Winnie met Jane.

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 9.45 a.m. = 45 min

Duration that Winnie ran = 45 min
Duration that Jane ran = 45 -  3 = 42 min

1 min = 60 s

42 min = 42 x 60 = 2520 s
45 min = 45 x 60 = 2700 s

Distance that Winnie ran
= 1 x 2700
= 2700 m

Distance that Jane ran
= 4 x 2520
= 10080 m

Distance that Winnie and Jane ran
= 2700 + 10080
= 12780 m

1000 m = 1 km

12780 m = 12780 ÷ 1000 = 12.78 km

(b)
Length of the trail
= 12.78 ÷ 2
= 6.39 km

Answer(s): (a) 12.78 km; (b) 6.39 km