At 9 a.m., Tammy and Xylia raced off together from the starting point of a course. Tammy ran at an average speed of 2 m/s. Xylia ran at an average speed of 4 m/s. Upon reaching the end of the course, Xylia rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 9.50 a.m., Tammy met Xylia.
- 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 Tammy ran = 50 min
Duration that Xylia 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 Tammy ran
= 2 x 3000
= 6000 m
Distance that Xylia ran
= 4 x 2760
= 11040 m
Distance that Tammy and Xylia ran
= 6000 + 11040
= 17040 m
1000 m = 1 km
17040 m = 17040 ÷ 1000 = 17.04 km
(b)
Length of the trail
= 17.04 ÷ 2
= 8.52 km
Answer(s): (a) 17.04 km; (b) 8.52 km