At 8 a.m., Gabby and Sabrina raced off together from the starting point of a pathway. Gabby ran at an average speed of 1 m/s. Sabrina ran at an average speed of 4 m/s. Upon reaching the end of the pathway, Sabrina rested for 4 minutes. She then immediately ran back along the same route at 4 m/s. At 8.35 a.m., Gabby met Sabrina.
- 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 8.35 a.m. = 35 min
Duration that Gabby ran = 35 min
Duration that Sabrina ran = 35 - 4 = 31 min
1 min = 60 s
31 min = 31 x 60 = 1860 s
35 min = 35 x 60 = 2100 s
Distance that Gabby ran
= 1 x 2100
= 2100 m
Distance that Sabrina ran
= 4 x 1860
= 7440 m
Distance that Gabby and Sabrina ran
= 2100 + 7440
= 9540 m
1000 m = 1 km
9540 m = 9540 ÷ 1000 = 9.54 km
(b)
Length of the trail
= 9.54 ÷ 2
= 4.77 km
Answer(s): (a) 9.54 km; (b) 4.77 km