At 9 a.m., Min and Cathy raced off together from the starting point of a course. Min ran at an average speed of 1 m/s. Cathy ran at an average speed of 2 m/s. Upon reaching the end of the course, Cathy rested for 5 minutes. She then immediately ran back along the same route at 2 m/s. At 9.35 a.m., Min met Cathy.
- 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 Min ran = 35 min
Duration that Cathy ran = 35 - 5 = 30 min
1 min = 60 s
30 min = 30 x 60 = 1800 s
35 min = 35 x 60 = 2100 s
Distance that Min ran
= 1 x 2100
= 2100 m
Distance that Cathy ran
= 2 x 1800
= 3600 m
Distance that Min and Cathy ran
= 2100 + 3600
= 5700 m
1000 m = 1 km
5700 m = 5700 ÷ 1000 = 5.7 km
(b)
Length of the trail
= 5.7 ÷ 2
= 2.85 km
Answer(s): (a) 5.7 km; (b) 2.85 km