At 10 a.m., Jen and Anna raced off together from the starting point of a course. Jen ran at an average speed of 1 m/s. Anna ran at an average speed of 3 m/s. Upon reaching the end of the course, Anna rested for 4 minutes. She then immediately ran back along the same route at 3 m/s. At 10.40 a.m., Jen met Anna.
- 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 10 a.m. to 10.40 a.m. = 40 min
Duration that Jen ran = 40 min
Duration that Anna ran = 40 - 4 = 36 min
1 min = 60 s
36 min = 36 x 60 = 2160 s
40 min = 40 x 60 = 2400 s
Distance that Jen ran
= 1 x 2400
= 2400 m
Distance that Anna ran
= 3 x 2160
= 6480 m
Distance that Jen and Anna ran
= 2400 + 6480
= 8880 m
1000 m = 1 km
8880 m = 8880 ÷ 1000 = 8.88 km
(b)
Length of the trail
= 8.88 ÷ 2
= 4.44 km
Answer(s): (a) 8.88 km; (b) 4.44 km