Marlene drive 540 miles to visit friend. drive for 3 hours then stopped for gas, then drive 4 more hours stopped for lunch. how many more hours do I drive if my average speed for trip is 60 miles per hour ?

How would I write an equation?

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Yes.

To find out how many more hours you need to drive, we can start by determining the total time you have already spent driving.

You drove for 3 hours before stopping for gas and then drove for an additional 4 hours before stopping for lunch, totaling 3 + 4 = 7 hours.

Given that your average speed for the trip is 60 miles per hour, we can calculate the total distance traveled by multiplying the average speed with the total time spent driving.

Total distance traveled = Average speed × Total time spent
Total distance traveled = 60 miles/hour × 7 hours
Total distance traveled = 420 miles

Since the total distance traveled is 420 miles, and your destination is 540 miles away, you still need to drive an additional 540 - 420 = 120 miles.

To find out the remaining time needed to drive these 120 miles, divide the distance by the average speed:

Remaining time needed = Remaining distance / Average speed
Remaining time needed = 120 miles / 60 miles/hour
Remaining time needed = 2 hours

Therefore, you would need to drive for an additional 2 hours to cover the remaining 120 miles to your friend's house.

The equation that represents the problem is:
Remaining time needed = (Total distance - Distance traveled) / Average speed

In this case,
Remaining time needed = (540 miles - 420 miles) / 60 miles/hour

Total time driving = totoal distance/total time

= 540/60 = 9 hrs

But you only drove for 7 hours , so you will need another 2 hours of driving.

No "equation" is needed.