please help

One runner in a relay race has a 1.50 s lead and is running at a constant speed of 3.25 m/s. The runner has 30.0 m to run before reaching the end of the track. A second runner moves in the same direction as the leader. What constant speed must the second runner maintain in order to catch up to the leader at the end of the race?
a.3.9 m/s

b.4.75 m/s

c.2.8 m/s

d. 20 m/s

Question

please help

One runner in a relay race has a 1.50 s lead and is running at a constant speed of 3.25 m/s. The runner has 30.0 m to run before reaching the end of the track. A second runner moves in the same direction as the leader. What constant speed must the second runner maintain in order to catch up to the leader at the end of the race?
a.3.9 m/s

b.4.75 m/s
	
c.2.8 m/s
	
d. 20 m/s

anonymous · Answer

If you look at the lead the first runner has 1.5s and multiply it by the constant speed (1.5 x 3.25) this equates to 4.875metres, subtract this from the 30metres left to run, leaves = 25.125m. If you divide this by 3.25 seconds constant speed of the first runner you realise that they will reach the end of the track in 7.73seconds. If you divide 30metres (back to the original distance as the first runner has a 1.5s lead) by 7.73seconds, you get 3.88, rounded to 3.9 = answer a.