Gabby and Elijah started off from the same place and drove at uniform speeds in the same direction round a 25 km circular racing track. Gabby completed each round in 50 minutes. Elijah took 60 minutes to complete each round.
- How far would Elijah be behind Gabby after 1 hour?
- How long after they started would it take Gabby to meet Elijah for the first time? Express your answer as a whole or mixed number in h.
(a)
60 min = 1 h
1 min =
160 h
50 min =
5060 h =
56 h
60 min =
6060 h = 1 h
Gabby's speed
= 25 ÷
56= 25 x
65= 30 km/h
Elijah's speed
= 25 ÷ 1
= 25 x
11= 25 km/h
Distance between Gabby and Elijah after 1 hour
= 30 - 25
= 5 km
(b)
LCM of 50 and 60 = 300
300 min =
30060 h = 5 h
Time needed for Gabby to meet Elijah for the first time = 5 h
Answer(s): (a) 5 km; (b) 5 h