Speed and Distance.

[BTGmoderatorRO]

How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards? (1 mile = 1,160 yards)

A. 8
B. 9
C. 10
D. 11
E. 12

OA is c

I would like an expert to give a conventional approach to solve this question.Thanks for your time

[EconomistGMATTutor]

How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards? (1 mile = 1,160 yards)

A. 8
B. 9
C. 10
D. 11
E. 12

OA is c

I would like an expert to give a conventional approach to solve this question.Thanks for your time

Hi Roland2rule,
Let's take a look at your question.

There are some mistakes in the question.
The first one is that 1 mile = 1,760 yards not 1,160
and the options are listed incorrectly as well.

Let's solve the problem using 1 mile = 1,760 yards

The car is traveling at a constant rate of 45 miles per hour.
We need to find how many seconds will it take to travel a distance of 22 yards.
It means we need to convert 45 miles per hour to yards per second so that we have the same units.

Since,
1 mile = 1,760 yards and
1 hour = 3600 seconds, therefore,
45 miles per hour can be converted in yards per seconds as:
$$=\frac{45\times1760}{3600}=22 \text{yards per second}$$
Hence the speed of the car is 22 yards per second.

Now, we can easily see from the speed of the car that 22 yards can be traveled in 1 second.

The answer is 1 second.

The options are incorrect.

Hope it helps.
I am available if you'd like any follow up.