At 7 a.m., Betty and Victoria raced off together from the starting point of a track. Betty ran at an average speed of 2 m/s. Victoria ran at an average speed of 3 m/s. Upon reaching the end of the track, Victoria rested for 5 minutes. She then immediately ran back along the same route at 3 m/s. At 7.50 a.m., Betty met Victoria.
- 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 7 a.m. to 7.50 a.m. = 50 min
Duration that Betty ran = 50 min
Duration that Victoria 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 Betty ran
= 2 x 3000
= 6000 m
Distance that Victoria ran
= 3 x 2700
= 8100 m
Distance that Betty and Victoria ran
= 6000 + 8100
= 14100 m
1000 m = 1 km
14100 m = 14100 ÷ 1000 = 14.1 km
(b)
Length of the trail
= 14.1 ÷ 2
= 7.05 km
Answer(s): (a) 14.1 km; (b) 7.05 km