pablo is driving 40 miles per hour after he has driven 30 mi

pablo is driving 40 miles per hour. after he has driven 30 miles, his brother Ricardo starts driving in the same direction. At what rate must Ricardo drive to catch up with Pablo in 5 hours

Solution

Given, pablo is driving 40 miles per hour.
after he has driven 30 miles, his brother Ricardo starts driving in the same direction.
Let the speed of Ricardo = x miles per hour.
Time to meet = 5 hours
Distance travelled by Ricardo = 5x
Distance travelled by Pablo = 5*40+30 = 200+30 = 230
When they meet, both distances are equal.
5x = 230
x = 230/5
x = 46 miles per hour
Therefore the speed of Ricardo = 46 miles per hour.