At 10 a.m., Mary and Hazel raced off together from the starting point of a track. Mary ran at an average speed of 1 m/s. Hazel ran at an average speed of 2 m/s. Upon reaching the end of the track, Hazel rested for 4 minutes. She then immediately ran back along the same route at 2 m/s. At 10.50 a.m., Mary met Hazel.
- 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 10.50 a.m. = 50 min
Duration that Mary ran = 50 min
Duration that Hazel ran = 50 - 4 = 46 min
1 min = 60 s
46 min = 46 x 60 = 2760 s
50 min = 50 x 60 = 3000 s
Distance that Mary ran
= 1 x 3000
= 3000 m
Distance that Hazel ran
= 2 x 2760
= 5520 m
Distance that Mary and Hazel ran
= 3000 + 5520
= 8520 m
1000 m = 1 km
8520 m = 8520 ÷ 1000 = 8.52 km
(b)
Length of the trail
= 8.52 ÷ 2
= 4.26 km
Answer(s): (a) 8.52 km; (b) 4.26 km