ANSWER:
The speed required by Ricardo to meet his brother after 5 hours is 46 miles per hour.
SOLUTION:
Given, Pablo is driving 40 miles per hour and he has driven 30 miles already.
Now, his brother Ricardo started driving,
We need to find the speed of Ricardo , so that he meets Pablo in 5 hours.
When they meet after 5 hours, distance traveled by them will be equal so,
Distance traveled by Ricardo in 5 hours = 30 miles + distance covered by Pablo in 5 hours
Speed of Ricardo [tex]\times[/tex] time taken = 30 + speed of Pablo [tex]\times[/tex] time taken
Speed of Ricardo [tex]\times[/tex] 5 = 30 + 40 × 5
Speed of Ricardo [tex]\times[/tex] 5 = 30 + 200
Speed of Ricardo [tex]\times[/tex] 5 = 230
Speed of Ricardo = [tex]\frac{230}{5}[/tex]
Speed of Ricardo = 46 miles per hour
Hence, the speed required by Ricardo to meet his brother after 5 hours is 46 miles per hour.
