At 7 a.m., Zara and Opal raced off together from the starting point of a route. Zara ran at an average speed of 1 m/s. Opal ran at an average speed of 2 m/s. Upon reaching the end of the route, Opal rested for 4 minutes. She then immediately ran back along the same route at 2 m/s. At 7.40 a.m., Zara met Opal.
- 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 7.40 a.m. = 40 min
Duration that Zara ran = 40 min
Duration that Opal ran = 40 - 4 = 36 min
1 min = 60 s
36 min = 36 x 60 = 2160 s
40 min = 40 x 60 = 2400 s
Distance that Zara ran
= 1 x 2400
= 2400 m
Distance that Opal ran
= 2 x 2160
= 4320 m
Distance that Zara and Opal ran
= 2400 + 4320
= 6720 m
1000 m = 1 km
6720 m = 6720 ÷ 1000 = 6.72 km
(b)
Length of the trail
= 6.72 ÷ 2
= 3.36 km
Answer(s): (a) 6.72 km; (b) 3.36 km