At 11 a.m., Gabby and Hilda raced off together from the starting point of a route. Gabby ran at an average speed of 1 m/s. Hilda ran at an average speed of 3 m/s. Upon reaching the end of the route, Hilda rested for 6 minutes. She then immediately ran back along the same route at 3 m/s. At 11.25 a.m., Gabby met Hilda.
- 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 11 a.m. to 11.25 a.m. = 25 min
Duration that Gabby ran = 25 min
Duration that Hilda 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 Gabby ran
= 1 x 1500
= 1500 m
Distance that Hilda ran
= 3 x 1140
= 3420 m
Distance that Gabby and Hilda ran
= 1500 + 3420
= 4920 m
1000 m = 1 km
4920 m = 4920 ÷ 1000 = 4.92 km
(b)
Length of the trail
= 4.92 ÷ 2
= 2.46 km
Answer(s): (a) 4.92 km; (b) 2.46 km