At 7 a.m., Betty and Gwen raced off together from the starting point of a path. Betty ran at an average speed of 1 m/s. Gwen ran at an average speed of 3 m/s. Upon reaching the end of the path, Gwen rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 7.30 a.m., Betty met Gwen.
- 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 7.30 a.m. = 30 min
Duration that Betty ran = 30 min
Duration that Gwen ran = 30 - 6 = 24 min
1 min = 60 s
24 min = 24 x 60 = 1440 s
30 min = 30 x 60 = 1800 s
Distance that Betty ran
= 1 x 1800
= 1800 m
Distance that Gwen ran
= 3 x 1440
= 4320 m
Distance that Betty and Gwen ran
= 1800 + 4320
= 6120 m
1000 m = 1 km
6120 m = 6120 ÷ 1000 = 6.12 km
(b)
Length of the trail
= 6.12 ÷ 2
= 3.06 km
Answer(s): (a) 6.12 km; (b) 3.06 km