At 7 a.m., Gabby and Lynn raced off together from the starting point of a route. Gabby ran at an average speed of 2 m/s. Lynn ran at an average speed of 3 m/s. Upon reaching the end of the route, Lynn rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 7.45 a.m., Gabby met Lynn.

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 Gabby ran = 45 min
Duration that Lynn 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 Gabby ran
= 2 x 2700
= 5400 m

Distance that Lynn ran
= 3 x 2340
= 7020 m

Distance that Gabby and Lynn ran
= 5400 + 7020
= 12420 m

1000 m = 1 km

12420 m = 12420 ÷ 1000 = 12.42 km

(b)
Length of the trail
= 12.42 ÷ 2
= 6.21 km

Answer(s): (a) 12.42 km; (b) 6.21 km