At 8 a.m., Victoria and Pamela raced off together from the starting point of a route. Victoria ran at an average speed of 1 m/s. Pamela ran at an average speed of 4 m/s. Upon reaching the end of the route, Pamela rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.50 a.m., Victoria met Pamela.
- 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 8.50 a.m. = 50 min
Duration that Victoria ran = 50 min
Duration that Pamela ran = 50 - 5 = 45 min
1 min = 60 s
45 min = 45 x 60 = 2700 s
50 min = 50 x 60 = 3000 s
Distance that Victoria ran
= 1 x 3000
= 3000 m
Distance that Pamela ran
= 4 x 2700
= 10800 m
Distance that Victoria and Pamela ran
= 3000 + 10800
= 13800 m
1000 m = 1 km
13800 m = 13800 ÷ 1000 = 13.8 km
(b)
Length of the trail
= 13.8 ÷ 2
= 6.9 km
Answer(s): (a) 13.8 km; (b) 6.9 km