How long does it take them to meet, if they start moving towards each other simultaneously?

Question

The distance between the cities Chicago and Toronto is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 hours less to cover same distance than for the motorcycle.

Answer 1

Answer: 5 hours

m/c does 48 mph, car takes 2.25 hours less to cover the same 540 miles from Chicago to Toronto, as the m/c

how long for them to meet if one comes from Chicago and the other from Toronto??

m/c does 540 miles at 48 mph in 540/48 hours = 90/8 = 45/4 = 11.25 hours

car does 540 in 11.25-2.25 = 9 hours

car goes 540/9 = 60 mph

use the formula d=rt where d=distance, r=rate of speed, t = time

540 = 48t +60t = 108t

t = 540/108= 5 hours to meet

for an instant in time, as they pass each other by, or they crash into each other, 300 miles from 1 city and 240 miles from the 2nd city