At 11 a.m., Raeann and Shiyun raced off together from the starting point of a route. Raeann ran at an average speed of 2 m/s. Shiyun ran at an average speed of 4 m/s. Upon reaching the end of the route, Shiyun rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 11.25 a.m., Raeann met Shiyun.
- 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 11.25 a.m. = 25 min
Duration that Raeann ran = 25 min
Duration that Shiyun ran = 25 - 4 = 21 min
1 min = 60 s
21 min = 21 x 60 = 1260 s
25 min = 25 x 60 = 1500 s
Distance that Raeann ran
= 2 x 1500
= 3000 m
Distance that Shiyun ran
= 4 x 1260
= 5040 m
Distance that Raeann and Shiyun ran
= 3000 + 5040
= 8040 m
1000 m = 1 km
8040 m = 8040 ÷ 1000 = 8.04 km
(b)
Length of the trail
= 8.04 ÷ 2
= 4.02 km
Answer(s): (a) 8.04 km; (b) 4.02 km