At 7 a.m., Kylie and Jade raced off together from the starting point of a route. Kylie ran at an average speed of 2 m/s. Jade ran at an average speed of 3 m/s. Upon reaching the end of the route, Jade rested for 3 minutes. She then immediately ran back along the same route at 3 m/s. At 7.30 a.m., Kylie met Jade.
- 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 7.30 a.m. = 30 min
Duration that Kylie ran = 30 min
Duration that Jade ran = 30 - 3 = 27 min
1 min = 60 s
27 min = 27 x 60 = 1620 s
30 min = 30 x 60 = 1800 s
Distance that Kylie ran
= 2 x 1800
= 3600 m
Distance that Jade ran
= 3 x 1620
= 4860 m
Distance that Kylie and Jade ran
= 3600 + 4860
= 8460 m
1000 m = 1 km
8460 m = 8460 ÷ 1000 = 8.46 km
(b)
Length of the trail
= 8.46 ÷ 2
= 4.23 km
Answer(s): (a) 8.46 km; (b) 4.23 km