At 8 a.m., Xandra and Emily raced off together from the starting point of a pathway. Xandra ran at an average speed of 1 m/s. Emily ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Emily rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 8.25 a.m., Xandra met Emily.
- 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 Xandra ran = 25 min
Duration that Emily ran = 25 - 4 = 21 min
1 min = 60 s
21 min = 21 x 60 = 1260 s
25 min = 25 x 60 = 1500 s
Distance that Xandra ran
= 1 x 1500
= 1500 m
Distance that Emily ran
= 4 x 1260
= 5040 m
Distance that Xandra and Emily ran
= 1500 + 5040
= 6540 m
1000 m = 1 km
6540 m = 6540 ÷ 1000 = 6.54 km
(b)
Length of the trail
= 6.54 ÷ 2
= 3.27 km
Answer(s): (a) 6.54 km; (b) 3.27 km