A family left their house in two cars at the same time. One car traveled at an average of 7 miles per hour faster than the other. When the first car arrived at the destination after 5 & 1/2 hours of driving, both cars had driven 599.5 miles. If the second car continues at the same average speed, how much time to the nearest minute before the second car arrives?

Question

A family left their house in two cars at the same time. One car traveled at an average of 7 miles per hour faster than the other. When the first car arrived at the destination after 5 & 1/2 hours of driving, both cars had driven 599.5 miles. If the second car continues at the same average speed, how much time to the nearest minute before the second car arrives?

How need to find a TIME?

Answer 1

@Reiny how did you convert 5.87745 into 5 hours and 53 minutes?

Answer 2

To find the time it will take for the second car to arrive at the destination, we need to determine the average speed of both cars and then use that information to calculate how much time is needed to cover the remaining distance.

Let's start by finding the average speed of the first car. We know that the first car traveled 599.5 miles in 5.5 hours. To calculate the average speed, we divide the total distance traveled by the total time taken:

Average speed of the first car = Total distance / Total time
= 599.5 miles / 5.5 hours
≈ 109.00 miles/hour

Next, we know that the second car traveled at an average speed that is 7 miles per hour slower than the first car. So, the average speed of the second car can be calculated as:

Average speed of the second car = Average speed of the first car - 7 miles/hour
= 109.00 miles/hour - 7 miles/hour
≈ 102.00 miles/hour

Now we need to determine how much distance is left for the second car to cover. Since both cars had driven 599.5 miles and the first car has already reached the destination, we need to subtract this distance from the total distance:

Distance left for the second car = Total distance - Distance covered by the first car
= 599.5 miles - 599.5 miles
= 0 miles

Since there is no distance left for the second car to cover, the time it will take for the second car to arrive is 0 hours. Therefore, the second car has already arrived at the destination at the same time as the first car.

Answer 3

You are given the time it took for the first car to go 599.5 miles in 5.5 hours.

Using rate = distance/time
the rate of the first car is 599.5/5.5 = 109 mph
So the slower car went at 102 mph

And the slower car would take 599.5/102 hrs
or 5.87745 hrs or 5 hrs and 53 minutes

5:53 - 5.30 = 0:23