At 11 a.m., Fiona and Kimberly raced off together from the starting point of a route. Fiona ran at an average speed of 2 m/s. Kimberly ran at an average speed of 4 m/s. Upon reaching the end of the route, Kimberly rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 11.40 a.m., Fiona 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 11 a.m. to 11.40 a.m. = 40 min
Duration that Fiona ran = 40 min
Duration that Kimberly 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 Fiona ran
= 2 x 2400
= 4800 m
Distance that Kimberly ran
= 4 x 2100
= 8400 m
Distance that Fiona and Kimberly 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