Question

kyle and his dad are leaving early in the morning for his soccer tournament. their house is 195 miles from the tournament. they plan to stop and eat after 1.5 hours of driving, then complete the rest of the trip. kyle's dad plans to drive at an average speed of 65 miles per hour. which equation can kyle use to find about how long, x, the second part of the trip will take? keep it up!

Answer 1

To find the amount of time for the second part of the trip, use the equation x = (Total distance - Distance traveled in 1.5 hours) / Average speed. Substitute the values and calculate to find x.

Step-by-step explanation:

To find the amount of time, x, it will take for the second part of the trip, we can use the equation:

x = (Total distance - Distance traveled in 1.5 hours) / Average speed

First, we need to find the distance traveled in 1.5 hours:

Distance traveled in 1.5 hours = Average speed * Time traveled

Distance traveled in 1.5 hours = 65 miles/hour * 1.5 hours

Next, we substitute this value into the equation to find the amount of time, x, for the second part of the trip:

x = (195 miles - Distance traveled in 1.5 hours) / Average speed

x = (195 miles - 97.5 miles) / 65 miles/hour

x = 97.5 miles / 65 miles/hour

x = 1.5 hours

Therefore, the second part of the trip will take approximately 1.5 hours.

Answer 2

To find how long the second part of Kyle's trip will take, we use the equation x = (195 - 97.5) / 65, resulting in approximately 1.5 hours for the remainder of the trip after the first stop.

Step-by-step explanation:

To find out how long the second part of the trip will take for Kyle and his dad, we can create an equation using the information given. We know the total distance to the tournament is 195 miles, and Kyle's dad plans to drive at an average speed of 65 miles per hour (mph). They will stop to eat after 1.5 hours of driving. We can first calculate how much distance will be covered in the first 1.5 hours at 65 mph:

Distance = Speed × Time = 65 mph × 1.5 hours = 97.5 miles

So, after the first part of the trip, 97.5 miles will have been traveled, leaving 195 miles - 97.5 miles = 97.5 miles to be covered. We then set up the equation to solve for the remaining time, x, for the trip:

Total Distance to Cover = Distance Covered in First Part + (Speed × Time for Second Part)

195 miles = 97.5 miles + (65 mph × x)

To solve for x, we rearrange the equation:

65 mph × x = 195 miles - 97.5 miles

x = (195 miles - 97.5 miles) / 65 mph

x = 97.5 miles / 65 mph

x = 1.5 hours

Therefore, Kyle can use the equation x = (195 - 97.5) / 65 to find that the second part of the trip will take approximately 1.5 hours.