At 9 a.m., Gabby and Erika raced off together from the starting point of a course. Gabby ran at an average speed of 1 m/s. Erika ran at an average speed of 4 m/s. Upon reaching the end of the course, Erika rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 9.25 a.m., Gabby met Erika.
- 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 9 a.m. to 9.25 a.m. = 25 min
Duration that Gabby ran = 25 min
Duration that Erika ran = 25 - 5 = 20 min
1 min = 60 s
20 min = 20 x 60 = 1200 s
25 min = 25 x 60 = 1500 s
Distance that Gabby ran
= 1 x 1500
= 1500 m
Distance that Erika ran
= 4 x 1200
= 4800 m
Distance that Gabby and Erika ran
= 1500 + 4800
= 6300 m
1000 m = 1 km
6300 m = 6300 ÷ 1000 = 6.3 km
(b)
Length of the trail
= 6.3 ÷ 2
= 3.15 km
Answer(s): (a) 6.3 km; (b) 3.15 km