At 7 a.m., Julie and Hazel raced off together from the starting point of a route. Julie ran at an average speed of 1 m/s. Hazel ran at an average speed of 4 m/s. Upon reaching the end of the route, Hazel rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 7.45 a.m., Julie met Hazel.

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 7 a.m. to 7.45 a.m. = 45 min

Duration that Julie ran = 45 min
Duration that Hazel ran = 45 -  6 = 39 min

1 min = 60 s

39 min = 39 x 60 = 2340 s
45 min = 45 x 60 = 2700 s

Distance that Julie ran
= 1 x 2700
= 2700 m

Distance that Hazel ran
= 4 x 2340
= 9360 m

Distance that Julie and Hazel ran
= 2700 + 9360
= 12060 m

1000 m = 1 km

12060 m = 12060 ÷ 1000 = 12.06 km

(b)
Length of the trail
= 12.06 ÷ 2
= 6.03 km

Answer(s): (a) 12.06 km; (b) 6.03 km