At 7 a.m., Zoe and Xandra raced off together from the starting point of a course. Zoe ran at an average speed of 3 m/s. Xandra ran at an average speed of 4 m/s. Upon reaching the end of the course, Xandra rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 7.30 a.m., Zoe met Xandra.
- 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 Zoe ran = 30 min
Duration that Xandra 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 Zoe ran
= 3 x 1800
= 5400 m
Distance that Xandra ran
= 4 x 1440
= 5760 m
Distance that Zoe and Xandra ran
= 5400 + 5760
= 11160 m
1000 m = 1 km
11160 m = 11160 ÷ 1000 = 11.16 km
(b)
Length of the trail
= 11.16 ÷ 2
= 5.58 km
Answer(s): (a) 11.16 km; (b) 5.58 km