At 7 a.m., Marion and Nicole raced off together from the starting point of a track. Marion ran at an average speed of 3 m/s. Nicole ran at an average speed of 4 m/s. Upon reaching the end of the track, Nicole rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 7.40 a.m., Marion met Nicole.
- 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 7.40 a.m. = 40 min
Duration that Marion ran = 40 min
Duration that Nicole 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 Marion ran
= 3 x 2400
= 7200 m
Distance that Nicole ran
= 4 x 2040
= 8160 m
Distance that Marion and Nicole ran
= 7200 + 8160
= 15360 m
1000 m = 1 km
15360 m = 15360 ÷ 1000 = 15.36 km
(b)
Length of the trail
= 15.36 ÷ 2
= 7.68 km
Answer(s): (a) 15.36 km; (b) 7.68 km