At 11 a.m., Elyse and Roshel raced off together from the starting point of a pathway. Elyse ran at an average speed of 1 m/s. Roshel ran at an average speed of 3 m/s. Upon reaching the end of the pathway, Roshel rested for 3 minutes. She then immediately ran back along the same route at 3 m/s. At 11.30 a.m., Elyse met Roshel.
- 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 11 a.m. to 11.30 a.m. = 30 min
Duration that Elyse ran = 30 min
Duration that Roshel 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 Elyse ran
= 1 x 1800
= 1800 m
Distance that Roshel ran
= 3 x 1620
= 4860 m
Distance that Elyse and Roshel ran
= 1800 + 4860
= 6660 m
1000 m = 1 km
6660 m = 6660 ÷ 1000 = 6.66 km
(b)
Length of the trail
= 6.66 ÷ 2
= 3.33 km
Answer(s): (a) 6.66 km; (b) 3.33 km