Jeremy and Gerardo run at constant speeds. Jeremy can run 1 mile in 8 minutes, and Gerardo can run 3 miles in 33 minutes. Jeremy started running 10 minutes after Gerardo. Assuming they run the same path, when will Jeremy catch up to Gerardo?
+130071 3 miles in 33 min = 1 mile in 11 minutes
Every minute Jeremy runs 1/8 of a mile
Every muniute, Gerardo runs ( 1/11) of a mile
In 10 minutes, Gerardo runs 10 (1/11) miles = 10 / 11 miles
So....this is the is the distance that Jeremy needs to close to catch Gerardo....and the effective distance he closes every minute = ( 1/8 -1/11) = ( 3 /88) miles
So D / effective rate = Time
So (10/11) / ( 3/88) = (10/11) * (88/3) = 880 / 33 ≈ 80/3 minutes = 26 2/3 min = 26 min 40sec
