At 9 a.m., Roshel and Raeann raced off together from the starting point of a path. Roshel ran at an average speed of 1 m/s. Raeann ran at an average speed of 4 m/s. Upon reaching the end of the path, Raeann rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 9.50 a.m., Roshel met Raeann.

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 9.50 a.m. = 50 min

Duration that Roshel ran = 50 min
Duration that Raeann ran = 50 -  4 = 46 min

1 min = 60 s

46 min = 46 x 60 = 2760 s
50 min = 50 x 60 = 3000 s

Distance that Roshel ran
= 1 x 3000
= 3000 m

Distance that Raeann ran
= 4 x 2760
= 11040 m

Distance that Roshel and Raeann ran
= 3000 + 11040
= 14040 m

1000 m = 1 km

14040 m = 14040 ÷ 1000 = 14.04 km

(b)
Length of the trail
= 14.04 ÷ 2
= 7.02 km

Answer(s): (a) 14.04 km; (b) 7.02 km