At 8 a.m., Anna and Cathy raced off together from the starting point of a route. Anna ran at an average speed of 1 m/s. Cathy ran at an average speed of 2 m/s. Upon reaching the end of the route, Cathy rested for 3 minutes. She then immediately ran back along the same route at 2 m/s. At 8.25 a.m., Anna met Cathy.
- 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 Anna ran = 25 min
Duration that Cathy 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 Anna ran
= 1 x 1500
= 1500 m
Distance that Cathy ran
= 2 x 1320
= 2640 m
Distance that Anna and Cathy ran
= 1500 + 2640
= 4140 m
1000 m = 1 km
4140 m = 4140 ÷ 1000 = 4.14 km
(b)
Length of the trail
= 4.14 ÷ 2
= 2.07 km
Answer(s): (a) 4.14 km; (b) 2.07 km