At 10 a.m., Nora and Pamela raced off together from the starting point of a path. Nora 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 path, Pamela rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 10.40 a.m., Nora 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 10 a.m. to 10.40 a.m. = 40 min
Duration that Nora ran = 40 min
Duration that Pamela ran = 40 - 6 = 34 min
1 min = 60 s
34 min = 34 x 60 = 2040 s
40 min = 40 x 60 = 2400 s
Distance that Nora ran
= 1 x 2400
= 2400 m
Distance that Pamela ran
= 4 x 2040
= 8160 m
Distance that Nora and Pamela ran
= 2400 + 8160
= 10560 m
1000 m = 1 km
10560 m = 10560 ÷ 1000 = 10.56 km
(b)
Length of the trail
= 10.56 ÷ 2
= 5.28 km
Answer(s): (a) 10.56 km; (b) 5.28 km