At 9 a.m., Fiona and Gwen raced off together from the starting point of a pathway. Fiona ran at an average speed of 3 m/s. Gwen ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Gwen rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 9.35 a.m., Fiona met Gwen.
- 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 Gwen 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 Fiona ran
= 3 x 2100
= 6300 m
Distance that Gwen ran
= 4 x 1740
= 6960 m
Distance that Fiona and Gwen 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