At 7 a.m., Kylie and Zara raced off together from the starting point of a path. Kylie ran at an average speed of 1 m/s. Zara ran at an average speed of 3 m/s. Upon reaching the end of the path, Zara rested for 4 minutes. She then immediately ran back along the same route at 3 m/s. At 7.30 a.m., Kylie met Zara.
- 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 7.30 a.m. = 30 min
Duration that Kylie ran = 30 min
Duration that Zara ran = 30 - 4 = 26 min
1 min = 60 s
26 min = 26 x 60 = 1560 s
30 min = 30 x 60 = 1800 s
Distance that Kylie ran
= 1 x 1800
= 1800 m
Distance that Zara ran
= 3 x 1560
= 4680 m
Distance that Kylie and Zara ran
= 1800 + 4680
= 6480 m
1000 m = 1 km
6480 m = 6480 ÷ 1000 = 6.48 km
(b)
Length of the trail
= 6.48 ÷ 2
= 3.24 km
Answer(s): (a) 6.48 km; (b) 3.24 km