Question

Lucas travels from home to work at a constant speed in 50 minutes. if he increases his speed by 25% over the course of the entire trip, how many minutes would it take for him to get to work

Answer 1

Constant speed =x

Answer 2

I am trying to figure out what's the initial speed

Answer 3

distance=50 x
(x+.25)=50x

Answer 4

\[s_{1} = d/t _{1} = d/50\]\[d = 50s _{1}\]\[s _{2} = 1.25 s _{1}\]\[s _{2} = d/t _{2}\]\[d = s _{2}t _{2}= 1.25 s _{1}t _{2}\]\[50s _{1}= s _{2}t _{2}=1.25 s _{1}t _{2}\]\[t _{2}=50s _{1}/ 1.25 s _{1} = 40 minutes\]

Answer 5

Hmm, it's a little bit messy..

Answer 6

if goes 5/4 the speed, he gets there in 4/5 the time (40 mins).