At 8 a.m., Min and Emma raced off together from the starting point of a route. Min ran at an average speed of 1 m/s. Emma ran at an average speed of 2 m/s. Upon reaching the end of the route, Emma rested for 6 minutes. She then immediately ran back along the same route at 2 m/s. At 8.25 a.m., Min met Emma.
- 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 8 a.m. to 8.25 a.m. = 25 min
Duration that Min ran = 25 min
Duration that Emma ran = 25 - 6 = 19 min
1 min = 60 s
19 min = 19 x 60 = 1140 s
25 min = 25 x 60 = 1500 s
Distance that Min ran
= 1 x 1500
= 1500 m
Distance that Emma ran
= 2 x 1140
= 2280 m
Distance that Min and Emma ran
= 1500 + 2280
= 3780 m
1000 m = 1 km
3780 m = 3780 ÷ 1000 = 3.78 km
(b)
Length of the trail
= 3.78 ÷ 2
= 1.89 km
Answer(s): (a) 3.78 km; (b) 1.89 km