At 9 a.m., Fiona and Roshel raced off together from the starting point of a pathway. Fiona ran at an average speed of 2 m/s. Roshel ran at an average speed of 3 m/s. Upon reaching the end of the pathway, Roshel rested for 5 minutes. She then immediately ran back along the same route at 3 m/s. At 9.35 a.m., Fiona 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 9 a.m. to 9.35 a.m. = 35 min
Duration that Fiona ran = 35 min
Duration that Roshel ran = 35 - 5 = 30 min
1 min = 60 s
30 min = 30 x 60 = 1800 s
35 min = 35 x 60 = 2100 s
Distance that Fiona ran
= 2 x 2100
= 4200 m
Distance that Roshel ran
= 3 x 1800
= 5400 m
Distance that Fiona and Roshel ran
= 4200 + 5400
= 9600 m
1000 m = 1 km
9600 m = 9600 ÷ 1000 = 9.6 km
(b)
Length of the trail
= 9.6 ÷ 2
= 4.8 km
Answer(s): (a) 9.6 km; (b) 4.8 km