At 10 a.m., Lynn and Kimberly raced off together from the starting point of a track. Lynn ran at an average speed of 3 m/s. Kimberly ran at an average speed of 4 m/s. Upon reaching the end of the track, Kimberly rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 10.35 a.m., Lynn met Kimberly.
- 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 10.35 a.m. = 35 min
Duration that Lynn ran = 35 min
Duration that Kimberly 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 Lynn ran
= 3 x 2100
= 6300 m
Distance that Kimberly ran
= 4 x 1740
= 6960 m
Distance that Lynn and Kimberly ran
= 6300 + 6960
= 13260 m
1000 m = 1 km
13260 m = 13260 ÷ 1000 = 13.26 km
(b)
Length of the trail
= 13.26 ÷ 2
= 6.63 km
Answer(s): (a) 13.26 km; (b) 6.63 km