two crooks rob a bank and flee to the east at 66mph. In 30mins, the police follow them in a hellicopter. flying at 132mph. How long willit take for the police to overtake the robbers?

I came up with 60mins. i don't think it right! please help with distance problems, i really want to be good at them, d=rt

They have fled 30min at 66 mph = 33 miles.

For the helicopter to catch up with them, they have to make up 33 miles at the difference of speeds (132-66)=66 mph.
So they will catch up in another 30 minutes.

To solve this distance problem, we can set up equations for both the crooks and the police.

Let's calculate the distance each party covers in 30 minutes:

Distance covered by the crooks: d = r * t
d = 66 mph * (30 minutes / 60 minutes per hour)
d = 66 mph * 0.5 hours
d = 33 miles

Distance covered by the police: d = r * t
d = 132 mph * (30 minutes / 60 minutes per hour)
d = 132 mph * 0.5 hours
d = 66 miles

Now, let's calculate the time it would take for the police to catch up to the crooks. We can set up the equation:

Distance covered by the crooks = Distance covered by the police

Therefore:

66 miles = 66 mph * t

Divide both sides of the equation by 66 mph:

t = 1 hour

So, it would take 1 hour for the police to overtake the robbers, not 60 minutes as you initially thought.

To solve this distance problem, we can start by finding the distance that both the crooks and the police travel in the given time.

Let's first calculate the distance traveled by the crooks in 30 minutes.

Distance = Speed × Time
Distance (crooks) = 66 mph × (30 minutes / 60 minutes)
Distance (crooks) = 33 miles

Now let's calculate the distance traveled by the police in the same 30 minutes.

Distance = Speed × Time
Distance (police) = 132 mph × (30 minutes / 60 minutes)
Distance (police) = 66 miles

At this point, we see that the crooks have a head start of 33 miles. Now, let's calculate the time it takes for the police to catch up to the crooks by using the relative speed between them.

Relative Speed = Speed (police) - Speed (crooks)
Relative Speed = 132 mph - 66 mph
Relative Speed = 66 mph

To find the time it takes for the police to catch up to the crooks, we can use the formula:

Time = Distance / Relative Speed
Time = 33 miles / 66 mph
Time = 0.5 hours or 30 minutes

Therefore, it will take the police 30 minutes to overtake the robbers.