At 11 a.m., Cindy and Eva raced off together from the starting point of a route. Cindy ran at an average speed of 1 m/s. Eva ran at an average speed of 2 m/s. Upon reaching the end of the route, Eva rested for 6 minutes. She then immediately ran back along the same route at 2 m/s. At 11.50 a.m., Cindy met Eva.
- 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 11.50 a.m. = 50 min
Duration that Cindy ran = 50 min
Duration that Eva ran = 50 - 6 = 44 min
1 min = 60 s
44 min = 44 x 60 = 2640 s
50 min = 50 x 60 = 3000 s
Distance that Cindy ran
= 1 x 3000
= 3000 m
Distance that Eva ran
= 2 x 2640
= 5280 m
Distance that Cindy and Eva ran
= 3000 + 5280
= 8280 m
1000 m = 1 km
8280 m = 8280 ÷ 1000 = 8.28 km
(b)
Length of the trail
= 8.28 ÷ 2
= 4.14 km
Answer(s): (a) 8.28 km; (b) 4.14 km