Hilda and John started cycling at uniform speeds from the same place in opposite direction round 1050 m forest trail. Hilda took 50 seconds to complete each round while John took 70 seconds.
- Find the distance covered per second by Hilda in m.
- Find the distance covered per second by John in m.
- When the two cyclists next met again at the starting point, how far would Hilda have covered? Express the answer in km.
(a)
Distance covered by Hilda per second
= 1050 ÷ 50
= 21 m
(b)
Distance covered by John per second
= 1050 ÷ 70
= 15 m
(c)
LCM of 50 and 70 = 350
Time taken for Hilda to travel and meet John at the starting point = 350 s
Number of rounds covered by Hilda in 350 s
= 350 ÷ 50
= 7
Distance that Hilda travelled to meet again
= 7 x 1050
= 7350 m
1000 m = 1 km
7350 m = 7.35 km
Answer(s): (a) 21 m; (b) 15 m; (c) 7.35 km