At 9 a.m., Opal and Jean raced off together from the starting point of a pathway. Opal ran at an average speed of 1 m/s. Jean ran at an average speed of 2 m/s. Upon reaching the end of the pathway, Jean rested for 6 minutes. She then immediately ran back along the same route at 2 m/s. At 9.35 a.m., Opal met Jean.
- 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 9 a.m. to 9.35 a.m. = 35 min
Duration that Opal ran = 35 min
Duration that Jean ran = 35 - 6 = 29 min
1 min = 60 s
29 min = 29 x 60 = 1740 s
35 min = 35 x 60 = 2100 s
Distance that Opal ran
= 1 x 2100
= 2100 m
Distance that Jean ran
= 2 x 1740
= 3480 m
Distance that Opal and Jean ran
= 2100 + 3480
= 5580 m
1000 m = 1 km
5580 m = 5580 ÷ 1000 = 5.58 km
(b)
Length of the trail
= 5.58 ÷ 2
= 2.79 km
Answer(s): (a) 5.58 km; (b) 2.79 km