At 10 a.m., Nora and Gwen raced off together from the starting point of a route. Nora ran at an average speed of 1 m/s. Gwen ran at an average speed of 2 m/s. Upon reaching the end of the route, Gwen rested for 3 minutes. She then immediately ran back along the same route at 2 m/s. At 10.30 a.m., Nora 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 10 a.m. to 10.30 a.m. = 30 min
Duration that Nora ran = 30 min
Duration that Gwen ran = 30 - 3 = 27 min
1 min = 60 s
27 min = 27 x 60 = 1620 s
30 min = 30 x 60 = 1800 s
Distance that Nora ran
= 1 x 1800
= 1800 m
Distance that Gwen ran
= 2 x 1620
= 3240 m
Distance that Nora and Gwen ran
= 1800 + 3240
= 5040 m
1000 m = 1 km
5040 m = 5040 ÷ 1000 = 5.04 km
(b)
Length of the trail
= 5.04 ÷ 2
= 2.52 km
Answer(s): (a) 5.04 km; (b) 2.52 km