At 7 a.m., Gem and Elyse raced off together from the starting point of a track. Gem ran at an average speed of 2 m/s. Elyse ran at an average speed of 4 m/s. Upon reaching the end of the track, Elyse rested for 3 minutes. She then immediately ran back along the same route at 4 m/s. At 7.40 a.m., Gem met Elyse.
- Find the total distance covered by the two runners when they met each other. Express your answer in km.
- Find the length of the trail in km.
(a)
From 7 a.m. to 7.40 a.m. = 40 min
Duration that Gem ran = 40 min
Duration that Elyse ran = 40 - 3 = 37 min
1 min = 60 s
37 min = 37 x 60 = 2220 s
40 min = 40 x 60 = 2400 s
Distance that Gem ran
= 2 x 2400
= 4800 m
Distance that Elyse ran
= 4 x 2220
= 8880 m
Distance that Gem and Elyse ran
= 4800 + 8880
= 13680 m
1000 m = 1 km
13680 m = 13680 ÷ 1000 = 13.68 km
(b)
Length of the trail
= 13.68 ÷ 2
= 6.84 km
Answer(s): (a) 13.68 km; (b) 6.84 km