At 7 a.m., Roshel and Kimberly raced off together from the starting point of a course. Roshel ran at an average speed of 1 m/s. Kimberly ran at an average speed of 3 m/s. Upon reaching the end of the course, Kimberly rested for 3 minutes. She then immediately ran back along the same route at 3 m/s. At 7.25 a.m., Roshel met Kimberly.
- 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 7.25 a.m. = 25 min
Duration that Roshel ran = 25 min
Duration that Kimberly ran = 25 - 3 = 22 min
1 min = 60 s
22 min = 22 x 60 = 1320 s
25 min = 25 x 60 = 1500 s
Distance that Roshel ran
= 1 x 1500
= 1500 m
Distance that Kimberly ran
= 3 x 1320
= 3960 m
Distance that Roshel and Kimberly ran
= 1500 + 3960
= 5460 m
1000 m = 1 km
5460 m = 5460 ÷ 1000 = 5.46 km
(b)
Length of the trail
= 5.46 ÷ 2
= 2.73 km
Answer(s): (a) 5.46 km; (b) 2.73 km