At 11 a.m., Victoria and Opal raced off together from the starting point of a course. Victoria ran at an average speed of 2 m/s. Opal ran at an average speed of 3 m/s. Upon reaching the end of the course, Opal rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 11.35 a.m., Victoria met Opal.
- 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 Victoria ran = 35 min
Duration that Opal ran = 35 - 6 = 29 min
1 min = 60 s
29 min = 29 x 60 = 1740 s
35 min = 35 x 60 = 2100 s
Distance that Victoria ran
= 2 x 2100
= 4200 m
Distance that Opal ran
= 3 x 1740
= 5220 m
Distance that Victoria and Opal ran
= 4200 + 5220
= 9420 m
1000 m = 1 km
9420 m = 9420 ÷ 1000 = 9.42 km
(b)
Length of the trail
= 9.42 ÷ 2
= 4.71 km
Answer(s): (a) 9.42 km; (b) 4.71 km