At 10 a.m., Linda and Min raced off together from the starting point of a pathway. Linda ran at an average speed of 2 m/s. Min ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Min rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 10.40 a.m., Linda met Min.
- 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 10.40 a.m. = 40 min
Duration that Linda ran = 40 min
Duration that Min ran = 40 - 5 = 35 min
1 min = 60 s
35 min = 35 x 60 = 2100 s
40 min = 40 x 60 = 2400 s
Distance that Linda ran
= 2 x 2400
= 4800 m
Distance that Min ran
= 4 x 2100
= 8400 m
Distance that Linda and Min ran
= 4800 + 8400
= 13200 m
1000 m = 1 km
13200 m = 13200 ÷ 1000 = 13.2 km
(b)
Length of the trail
= 13.2 ÷ 2
= 6.6 km
Answer(s): (a) 13.2 km; (b) 6.6 km