CAHSEE Math Algebra I: Drill 6, Problem 4. How much more ground can the Batmobile cover traveling at a speed of 75 mph in the same amount of time?
|Algebra I||Solving multistep equations|
|CAHSEE Math||Algebra I|
Here are the potential answers…
So… what is this question asking?
It’s a distance, rate and time problem which we have to just think through.
First, let’s put everything in the same units.
In this problem, we’re all miles… Batman wouldn’t dare fool around with kilometers.
That’s Alfred’s thing.
The Batmobile was going 60 miles an hour, so it can travel, well… 60 miles
in one hour… or 1 mile per minute.
So if it goes 80 miles, then it’s travelled 80 minutes.
But the key thing to glean here is that the Batmobile went for 80 minutes… or an hour
and 20 minutes… or 1.33 hours.
So now what if the Batmobile didn’t hit much traffic and was instead going 75 miles an hour?
To figure out how far it would have driven in that same amount of time, we multiply its
rate of 75 mph by 1.33 and we get… about 100 miles.
So the DIFFERENCE between the two distances is 20 miles.
Answer A. As in, "Alfred."