At 11 a.m., Eva and Min raced off together from the starting point of a path. Eva ran at an average speed of 3 m/s. Min ran at an average speed of 4 m/s. Upon reaching the end of the path, Min rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 11.35 a.m., Eva met Min.
- 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 11.35 a.m. = 35 min
Duration that Eva ran = 35 min
Duration that Min ran = 35 - 5 = 30 min
1 min = 60 s
30 min = 30 x 60 = 1800 s
35 min = 35 x 60 = 2100 s
Distance that Eva ran
= 3 x 2100
= 6300 m
Distance that Min ran
= 4 x 1800
= 7200 m
Distance that Eva and Min ran
= 6300 + 7200
= 13500 m
1000 m = 1 km
13500 m = 13500 ÷ 1000 = 13.5 km
(b)
Length of the trail
= 13.5 ÷ 2
= 6.75 km
Answer(s): (a) 13.5 km; (b) 6.75 km