At 8 a.m., Anna and Yoko raced off together from the starting point of a path. Anna ran at an average speed of 2 m/s. Yoko ran at an average speed of 3 m/s. Upon reaching the end of the path, Yoko rested for 4 minutes. She then immediately ran back along the same route at 3 m/s. At 8.25 a.m., Anna met Yoko.

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 8.25 a.m. = 25 min

Duration that Anna ran = 25 min
Duration that Yoko ran = 25 -  4 = 21 min

1 min = 60 s

21 min = 21 x 60 = 1260 s
25 min = 25 x 60 = 1500 s

Distance that Anna ran
= 2 x 1500
= 3000 m

Distance that Yoko ran
= 3 x 1260
= 3780 m

Distance that Anna and Yoko ran
= 3000 + 3780
= 6780 m

1000 m = 1 km

6780 m = 6780 ÷ 1000 = 6.78 km

(b)
Length of the trail
= 6.78 ÷ 2
= 3.39 km

Answer(s): (a) 6.78 km; (b) 3.39 km