Tammy and Bobby started cycling at uniform speeds from the same place in opposite direction round 1050 m forest trail. Tammy took 42 seconds to complete each round while Bobby took 70 seconds.
- Find the distance covered per second by Tammy in m.
- Find the distance covered per second by Bobby in m.
- When the two cyclists next met again at the starting point, how far would Tammy have covered? Express the answer in km.
(a)
Distance covered by Tammy per second
= 1050 ÷ 42
= 25 m
(b)
Distance covered by Bobby per second
= 1050 ÷ 70
= 15 m
(c)
LCM of 42 and 70 = 210
Time taken for Tammy to travel and meet Bobby at the starting point = 210 s
Number of rounds covered by Tammy in 210 s
= 210 ÷ 42
= 5
Distance that Tammy travelled to meet again
= 5 x 1050
= 5250 m
1000 m = 1 km
5250 m = 5.25 km
Answer(s): (a) 25 m; (b) 15 m; (c) 5.25 km