At 9 a.m., Hilda and Kylie raced off together from the starting point of a path. Hilda ran at an average speed of 1 m/s. Kylie ran at an average speed of 2 m/s. Upon reaching the end of the path, Kylie rested for 6 minutes. She then immediately ran back along the same route at 2 m/s. At 9.30 a.m., Hilda met Kylie.
- 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 9 a.m. to 9.30 a.m. = 30 min
Duration that Hilda ran = 30 min
Duration that Kylie ran = 30 - 6 = 24 min
1 min = 60 s
24 min = 24 x 60 = 1440 s
30 min = 30 x 60 = 1800 s
Distance that Hilda ran
= 1 x 1800
= 1800 m
Distance that Kylie ran
= 2 x 1440
= 2880 m
Distance that Hilda and Kylie ran
= 1800 + 2880
= 4680 m
1000 m = 1 km
4680 m = 4680 ÷ 1000 = 4.68 km
(b)
Length of the trail
= 4.68 ÷ 2
= 2.34 km
Answer(s): (a) 4.68 km; (b) 2.34 km