At 11 a.m., Shannon and Victoria raced off together from the starting point of a track. Shannon ran at an average speed of 1 m/s. Victoria ran at an average speed of 3 m/s. Upon reaching the end of the track, Victoria rested for 4 minutes. She then immediately ran back along the same route at 3 m/s. At 11.35 a.m., Shannon met Victoria.
- 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 Shannon ran = 35 min
Duration that Victoria ran = 35 - 4 = 31 min
1 min = 60 s
31 min = 31 x 60 = 1860 s
35 min = 35 x 60 = 2100 s
Distance that Shannon ran
= 1 x 2100
= 2100 m
Distance that Victoria ran
= 3 x 1860
= 5580 m
Distance that Shannon and Victoria ran
= 2100 + 5580
= 7680 m
1000 m = 1 km
7680 m = 7680 ÷ 1000 = 7.68 km
(b)
Length of the trail
= 7.68 ÷ 2
= 3.84 km
Answer(s): (a) 7.68 km; (b) 3.84 km