At 10 a.m., Roshel and Eva raced off together from the starting point of a course. Roshel ran at an average speed of 1 m/s. Eva ran at an average speed of 3 m/s. Upon reaching the end of the course, Eva rested for 5 minutes. She then immediately ran back along the same route at 3 m/s. At 10.25 a.m., Roshel 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 10 a.m. to 10.25 a.m. = 25 min
Duration that Roshel ran = 25 min
Duration that Eva ran = 25 - 5 = 20 min
1 min = 60 s
20 min = 20 x 60 = 1200 s
25 min = 25 x 60 = 1500 s
Distance that Roshel ran
= 1 x 1500
= 1500 m
Distance that Eva ran
= 3 x 1200
= 3600 m
Distance that Roshel and Eva ran
= 1500 + 3600
= 5100 m
1000 m = 1 km
5100 m = 5100 ÷ 1000 = 5.1 km
(b)
Length of the trail
= 5.1 ÷ 2
= 2.55 km
Answer(s): (a) 5.1 km; (b) 2.55 km