At 11 a.m., Gabby and Yoko raced off together from the starting point of a path. Gabby ran at an average speed of 1 m/s. Yoko ran at an average speed of 2 m/s. Upon reaching the end of the path, Yoko rested for 6 minutes. She then immediately ran back along the same route at 2 m/s. At 11.25 a.m., Gabby 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 11 a.m. to 11.25 a.m. = 25 min

Duration that Gabby ran = 25 min
Duration that Yoko ran = 25 -  6 = 19 min

1 min = 60 s

19 min = 19 x 60 = 1140 s
25 min = 25 x 60 = 1500 s

Distance that Gabby ran
= 1 x 1500
= 1500 m

Distance that Yoko ran
= 2 x 1140
= 2280 m

Distance that Gabby and Yoko ran
= 1500 + 2280
= 3780 m

1000 m = 1 km

3780 m = 3780 ÷ 1000 = 3.78 km

(b)
Length of the trail
= 3.78 ÷ 2
= 1.89 km

Answer(s): (a) 3.78 km; (b) 1.89 km