At 10 a.m., Eva and Jaslyn raced off together from the starting point of a path. Eva ran at an average speed of 2 m/s. Jaslyn ran at an average speed of 3 m/s. Upon reaching the end of the path, Jaslyn rested for 5 minutes. She then immediately ran back along the same route at 3 m/s. At 10.40 a.m., Eva met Jaslyn.
- 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 10 a.m. to 10.40 a.m. = 40 min
Duration that Eva ran = 40 min
Duration that Jaslyn ran = 40 - 5 = 35 min
1 min = 60 s
35 min = 35 x 60 = 2100 s
40 min = 40 x 60 = 2400 s
Distance that Eva ran
= 2 x 2400
= 4800 m
Distance that Jaslyn ran
= 3 x 2100
= 6300 m
Distance that Eva and Jaslyn ran
= 4800 + 6300
= 11100 m
1000 m = 1 km
11100 m = 11100 ÷ 1000 = 11.1 km
(b)
Length of the trail
= 11.1 ÷ 2
= 5.55 km
Answer(s): (a) 11.1 km; (b) 5.55 km