At 8 a.m., Ivory and Anna raced off together from the starting point of a pathway. Ivory ran at an average speed of 3 m/s. Anna ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Anna rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Ivory met Anna.

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 8 a.m. to 8.40 a.m. = 40 min

Duration that Ivory ran = 40 min
Duration that Anna ran = 40 -  4 = 36 min

1 min = 60 s

36 min = 36 x 60 = 2160 s
40 min = 40 x 60 = 2400 s

Distance that Ivory ran
= 3 x 2400
= 7200 m

Distance that Anna ran
= 4 x 2160
= 8640 m

Distance that Ivory and Anna ran
= 7200 + 8640
= 15840 m

1000 m = 1 km

15840 m = 15840 ÷ 1000 = 15.84 km

(b)
Length of the trail
= 15.84 ÷ 2
= 7.92 km

Answer(s): (a) 15.84 km; (b) 7.92 km