At 10 a.m., Vanessa and Tina raced off together from the starting point of a path. Vanessa ran at an average speed of 1 m/s. Tina ran at an average speed of 2 m/s. Upon reaching the end of the path, Tina rested for 3 minutes. She then immediately ran back along the same route at 2 m/s. At 10.40 a.m., Vanessa met Tina.
- 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 Vanessa ran = 40 min
Duration that Tina ran = 40 - 3 = 37 min
1 min = 60 s
37 min = 37 x 60 = 2220 s
40 min = 40 x 60 = 2400 s
Distance that Vanessa ran
= 1 x 2400
= 2400 m
Distance that Tina ran
= 2 x 2220
= 4440 m
Distance that Vanessa and Tina ran
= 2400 + 4440
= 6840 m
1000 m = 1 km
6840 m = 6840 ÷ 1000 = 6.84 km
(b)
Length of the trail
= 6.84 ÷ 2
= 3.42 km
Answer(s): (a) 6.84 km; (b) 3.42 km