At 11 a.m., Victoria and Roshel raced off together from the starting point of a track. Victoria ran at an average speed of 1 m/s. Roshel ran at an average speed of 3 m/s. Upon reaching the end of the track, Roshel rested for 3 minutes. She then immediately ran back along the same route at 3 m/s. At 11.35 a.m., Victoria met Roshel.
- 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 Roshel ran = 35 - 3 = 32 min
1 min = 60 s
32 min = 32 x 60 = 1920 s
35 min = 35 x 60 = 2100 s
Distance that Victoria ran
= 1 x 2100
= 2100 m
Distance that Roshel ran
= 3 x 1920
= 5760 m
Distance that Victoria and Roshel ran
= 2100 + 5760
= 7860 m
1000 m = 1 km
7860 m = 7860 ÷ 1000 = 7.86 km
(b)
Length of the trail
= 7.86 ÷ 2
= 3.93 km
Answer(s): (a) 7.86 km; (b) 3.93 km