At 7 a.m., Sabrina and Eva raced off together from the starting point of a path. Sabrina ran at an average speed of 1 m/s. Eva ran at an average speed of 2 m/s. Upon reaching the end of the path, Eva rested for 3 minutes. She then immediately ran back along the same route at 2 m/s. At 7.25 a.m., Sabrina met Eva.
- 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 Sabrina ran = 25 min
Duration that Eva 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 Sabrina ran
= 1 x 1500
= 1500 m
Distance that Eva ran
= 2 x 1320
= 2640 m
Distance that Sabrina and Eva ran
= 1500 + 2640
= 4140 m
1000 m = 1 km
4140 m = 4140 ÷ 1000 = 4.14 km
(b)
Length of the trail
= 4.14 ÷ 2
= 2.07 km
Answer(s): (a) 4.14 km; (b) 2.07 km