A car passes a landmark on a highway traveling at a constant rate of 45 kilometers per hour.
Let t be the time taken by second car
So t+1 is the time taken by first car
Distance = speed * time
Distance traveled by first car = 45 * (t+1)
second car passes the same landmark traveling in the same direction at 65 kilometers per hour
Distance traveled by second car = 65 * (t)
When second car overtakes the first car then their distance are same
65 t = 45(t+1)
65t = 45t + 45
Subtract 45 t from both sides
20t = 45
Divide both sides by 20
so
It took 2.25 hours for the second car to overtake first car