Question

Victoria and Margaret left their apartment at

the same time traveling in the same direction.

Victoria drove at 55 mph and Margaret drove

at 70 mph. How many hours was it before

Margaret was 30 miles ahead of Victoria?

Answer 1

It will take 2 hours before Margaret is 30 miles ahead of Victoria.

Step-by-step explanation:

To find the number of hours before Margaret is 30 miles ahead of Victoria, we need to determine when their distances are 30 miles apart.

Since they are travelling in the same direction, the difference in their speeds is 70 mph - 55 mph = 15 mph.

Therefore, Margaret's speed relative to Victoria is 15 mph.

To cover a distance of 30 miles at this relative speed, it will take 30 miles / 15 mph = 2 hours.

So, it will take 2 hours before Margaret is 30 miles ahead of Victoria.

Answer 2

Using the equation for distance, we find it takes 2 hours for Margaret driving at 70 mph to be 30 miles ahead of Victoria driving at 55 mph.

Step-by-step explanation:

The question involves calculating the time it takes for Margaret to be 30 miles ahead of Victoria given their respective speeds. To find this, we can set up an equation where the distance traveled by Victoria plus 30 miles is equal to the distance traveled by Margaret. Since distance equals rate multiplied by time (d = rt), we let 't' represent the time in hours for Margaret to be 30 miles ahead of Victoria.

Victoria's distance equation would be 55 mph × t, and Margaret's would be 70 mph × t. To find out when Margaret is 30 miles ahead, we solve for 't' in the equation 55t + 30 = 70t. Subtracting 55t from both sides gives us 30 = 15t, then dividing both sides by 15 gives t = 2.

Therefore, it will take 2 hours for Margaret to be 30 miles ahead of Victoria.