At 8 a.m., Tina and Roshel raced off together from the starting point of a course. Tina ran at an average speed of 1 m/s. Roshel ran at an average speed of 2 m/s. Upon reaching the end of the course, Roshel rested for 6 minutes. She then immediately ran back along the same route at 2 m/s. At 8.45 a.m., Tina met Roshel.

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 Tina ran = 45 min
Duration that Roshel 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 Tina ran
= 1 x 2700
= 2700 m

Distance that Roshel ran
= 2 x 2340
= 4680 m

Distance that Tina and Roshel ran
= 2700 + 4680
= 7380 m

1000 m = 1 km

7380 m = 7380 ÷ 1000 = 7.38 km

(b)
Length of the trail
= 7.38 ÷ 2
= 3.69 km

Answer(s): (a) 7.38 km; (b) 3.69 km