At 11 a.m., Hilda and Elyse raced off together from the starting point of a path. Hilda ran at an average speed of 1 m/s. Elyse ran at an average speed of 4 m/s. Upon reaching the end of the path, Elyse rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 11.40 a.m., Hilda 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 11 a.m. to 11.40 a.m. = 40 min
Duration that Hilda ran = 40 min
Duration that Elyse ran = 40 - 4 = 36 min
1 min = 60 s
36 min = 36 x 60 = 2160 s
40 min = 40 x 60 = 2400 s
Distance that Hilda ran
= 1 x 2400
= 2400 m
Distance that Elyse ran
= 4 x 2160
= 8640 m
Distance that Hilda and Elyse ran
= 2400 + 8640
= 11040 m
1000 m = 1 km
11040 m = 11040 ÷ 1000 = 11.04 km
(b)
Length of the trail
= 11.04 ÷ 2
= 5.52 km
Answer(s): (a) 11.04 km; (b) 5.52 km