At 11 a.m., Diana and Roshel raced off together from the starting point of a pathway. Diana ran at an average speed of 1 m/s. Roshel ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Roshel rested for 3 minutes. She then immediately ran back along the same route at 4 m/s. At 11.25 a.m., Diana 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 11.25 a.m. = 25 min
Duration that Diana ran = 25 min
Duration that Roshel 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 Diana ran
= 1 x 1500
= 1500 m
Distance that Roshel ran
= 4 x 1320
= 5280 m
Distance that Diana and Roshel ran
= 1500 + 5280
= 6780 m
1000 m = 1 km
6780 m = 6780 ÷ 1000 = 6.78 km
(b)
Length of the trail
= 6.78 ÷ 2
= 3.39 km
Answer(s): (a) 6.78 km; (b) 3.39 km