At 8 a.m., Barbara and Victoria raced off together from the starting point of a course. Barbara ran at an average speed of 2 m/s. Victoria ran at an average speed of 4 m/s. Upon reaching the end of the course, Victoria rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 8.45 a.m., Barbara met Victoria.

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 Barbara ran = 45 min
Duration that Victoria 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 Barbara ran
= 2 x 2700
= 5400 m

Distance that Victoria ran
= 4 x 2340
= 9360 m

Distance that Barbara and Victoria ran
= 5400 + 9360
= 14760 m

1000 m = 1 km

14760 m = 14760 ÷ 1000 = 14.76 km

(b)
Length of the trail
= 14.76 ÷ 2
= 7.38 km

Answer(s): (a) 14.76 km; (b) 7.38 km