At 9 a.m., Jen and Emma raced off together from the starting point of a track. Jen ran at an average speed of 2 m/s. Emma ran at an average speed of 3 m/s. Upon reaching the end of the track, Emma rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 9.40 a.m., Jen met Emma.

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 9 a.m. to 9.40 a.m. = 40 min

Duration that Jen ran = 40 min
Duration that Emma ran = 40 -  6 = 34 min

1 min = 60 s

34 min = 34 x 60 = 2040 s
40 min = 40 x 60 = 2400 s

Distance that Jen ran
= 2 x 2400
= 4800 m

Distance that Emma ran
= 3 x 2040
= 6120 m

Distance that Jen and Emma ran
= 4800 + 6120
= 10920 m

1000 m = 1 km

10920 m = 10920 ÷ 1000 = 10.92 km

(b)
Length of the trail
= 10.92 ÷ 2
= 5.46 km

Answer(s): (a) 10.92 km; (b) 5.46 km