Question

A worker travels to work on a road with a 40 miles per hour speed limit. their journey takes 36 minutes. the council plans to reduce the speed limit to 30 miles per hour. if the worker travels at the speed limit, how long will their journey to work take after the change?

Answer 1

To find the new journey time after the speed limit reduction, calculate the original journey's distance and then divide that by the new speed. The original distance is 24 miles, and at the new speed of 30 mph, the journey will take 48 minutes.

Step-by-step explanation:

To calculate the time it will take the worker to travel to work after the speed limit decrease, we have to first find the distance of the journey. Since the worker travels at 40 miles per hour and the journey takes 36 minutes, we can find the distance with the formula Distance = Speed × Time.

The time in hours for the original journey is 36 minutes ÷ 60 minutes/hour = 0.6 hours. So, the distance is 40 miles/hour × 0.6 hours = 24 miles.

After the speed limit change to 30 miles per hour, we need to find out how long it will take to cover 24 miles. We use the same formula but rearranged to find the time: Time = Distance ÷ Speed. The new time is 24 miles ÷ 30 miles/hour = 0.8 hours. In minutes, this is 0.8 hours × 60 minutes/hour = 48 minutes.

Therefore, the journey to work after the speed limit reduction will take the worker 48 minutes.

Answer 2

The distance for the worker's commute is 24 miles. At the new speed limit of 30 mph, the time to travel this distance is calculated to be 48 minutes. To find this, first calculate the distance with the original speed and time, then divide that distance by the new speed limit and convert the result back into minutes.

Step-by-step explanation:

To calculate the new travel time when the speed limit is reduced from 40 miles per hour (mph) to 30 mph, we first need to determine the distance of the worker's commute. Since the current journey takes 36 minutes at 40 mph, we use the formula:

• Distance = Speed × Time

The worker's current speed is 40 mph and the time is 36 minutes, which is 0.6 hours (since there are 60 minutes in an hour).

So the distance is:

Distance = 40 mph × 0.6 hours = 24 miles

With the new speed limit of 30 mph, we can find out how long it will take to cover the same 24-mile distance by rearranging the formula to solve for time:

• Time = Distance / Speed

The calculation will be:

Time = 24 miles / 30 mph = 0.8 hours

To convert 0.8 hours back into minutes, we multiply by 60 minutes per hour:

Time = 0.8 hours × 60 minutes/hour = 48 minutes

Therefore, the new travel time at a 30 mph speed limit will be 48 minutes.