At 11 a.m., Jean and Nicole raced off together from the starting point of a path. Jean ran at an average speed of 2 m/s. Nicole ran at an average speed of 3 m/s. Upon reaching the end of the path, Nicole rested for 5 minutes. She then immediately ran back along the same route at 3 m/s. At 11.30 a.m., Jean met Nicole.
- 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 11 a.m. to 11.30 a.m. = 30 min
Duration that Jean ran = 30 min
Duration that Nicole ran = 30 - 5 = 25 min
1 min = 60 s
25 min = 25 x 60 = 1500 s
30 min = 30 x 60 = 1800 s
Distance that Jean ran
= 2 x 1800
= 3600 m
Distance that Nicole ran
= 3 x 1500
= 4500 m
Distance that Jean and Nicole ran
= 3600 + 4500
= 8100 m
1000 m = 1 km
8100 m = 8100 ÷ 1000 = 8.1 km
(b)
Length of the trail
= 8.1 ÷ 2
= 4.05 km
Answer(s): (a) 8.1 km; (b) 4.05 km