At 9 a.m., Fanny and Gwen raced off together from the starting point of a route. Fanny ran at an average speed of 1 m/s. Gwen ran at an average speed of 4 m/s. Upon reaching the end of the route, Gwen rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 9.50 a.m., Fanny 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 9.50 a.m. = 50 min
Duration that Fanny ran = 50 min
Duration that Gwen ran = 50 - 4 = 46 min
1 min = 60 s
46 min = 46 x 60 = 2760 s
50 min = 50 x 60 = 3000 s
Distance that Fanny ran
= 1 x 3000
= 3000 m
Distance that Gwen ran
= 4 x 2760
= 11040 m
Distance that Fanny and Gwen ran
= 3000 + 11040
= 14040 m
1000 m = 1 km
14040 m = 14040 ÷ 1000 = 14.04 km
(b)
Length of the trail
= 14.04 ÷ 2
= 7.02 km
Answer(s): (a) 14.04 km; (b) 7.02 km