At 8 a.m., Yoko and Fiona raced off together from the starting point of a track. Yoko ran at an average speed of 2 m/s. Fiona ran at an average speed of 4 m/s. Upon reaching the end of the track, Fiona rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.25 a.m., Yoko met Fiona.
- 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 8 a.m. to 8.25 a.m. = 25 min
Duration that Yoko ran = 25 min
Duration that Fiona ran = 25 - 5 = 20 min
1 min = 60 s
20 min = 20 x 60 = 1200 s
25 min = 25 x 60 = 1500 s
Distance that Yoko ran
= 2 x 1500
= 3000 m
Distance that Fiona ran
= 4 x 1200
= 4800 m
Distance that Yoko and Fiona ran
= 3000 + 4800
= 7800 m
1000 m = 1 km
7800 m = 7800 ÷ 1000 = 7.8 km
(b)
Length of the trail
= 7.8 ÷ 2
= 3.9 km
Answer(s): (a) 7.8 km; (b) 3.9 km