At 8 a.m., Gem and Julie raced off together from the starting point of a pathway. Gem ran at an average speed of 1 m/s. Julie ran at an average speed of 3 m/s. Upon reaching the end of the pathway, Julie rested for 4 minutes. She then immediately ran back along the same route at 3 m/s. At 8.45 a.m., Gem met Julie.

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 8.45 a.m. = 45 min

Duration that Gem ran = 45 min
Duration that Julie ran = 45 -  4 = 41 min

1 min = 60 s

41 min = 41 x 60 = 2460 s
45 min = 45 x 60 = 2700 s

Distance that Gem ran
= 1 x 2700
= 2700 m

Distance that Julie ran
= 3 x 2460
= 7380 m

Distance that Gem and Julie ran
= 2700 + 7380
= 10080 m

1000 m = 1 km

10080 m = 10080 ÷ 1000 = 10.08 km

(b)
Length of the trail
= 10.08 ÷ 2
= 5.04 km

Answer(s): (a) 10.08 km; (b) 5.04 km