At 9 a.m., Usha and Ivory raced off together from the starting point of a path. Usha ran at an average speed of 1 m/s. Ivory ran at an average speed of 4 m/s. Upon reaching the end of the path, Ivory rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 9.30 a.m., Usha met Ivory.
- 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 9.30 a.m. = 30 min
Duration that Usha ran = 30 min
Duration that Ivory ran = 30 - 5 = 25 min
1 min = 60 s
25 min = 25 x 60 = 1500 s
30 min = 30 x 60 = 1800 s
Distance that Usha ran
= 1 x 1800
= 1800 m
Distance that Ivory ran
= 4 x 1500
= 6000 m
Distance that Usha and Ivory ran
= 1800 + 6000
= 7800 m
1000 m = 1 km
7800 m = 7800 ÷ 1000 = 7.8 km
(b)
Length of the trail
= 7.8 ÷ 2
= 3.9 km
Answer(s): (a) 7.8 km; (b) 3.9 km