Rico can drive 2 times as fast as Luis can ride his bicycle. if it takes Luis 4 hours longer Rico to travel 64 miles, how fast can Luis ride his bicycle?

Question

rico can drive 2 times as fast as Luis can ride his bicycle. If it takes Luis 4 hours longer that Rico to travel 64 miles, how fast can Luis ride his bicycle?

Answer 1

Let L stand for Luis' speed and R for Rico's speed, both in terms of miles/hour..

Let T be the number of hours it takes Rico to go 64 miles, so Luis takes T+4 hours for the same distance.

Therefore, R*T = L*(T+4)

By the first sentence, we know that R = 2L, thus:

2*L*T = L*T + 2*L

Subtracting L*T from both sides gives us

L*T = 2*L

Dividing both sides by L tells us T = 2

So, since it took Rico 2 hours to go 64 miles, he rides at 32 mph and Luis rides at half that speed or 16 mph.