The Zalinsky family can drive the 220 miles to their cabin in 4 hours at 55 miles per hour. Son Jeff claims that they could save half an hour if they drove 65 miles per hour, the speed limit. How long will it take the family if they drive 65 miles per hour? My solution is 3 hour and 38 min. But in the math book answer is 3 hours and 23 min. Please help me with right solution, thank you so much!!!!

Since

Time = Distance/rate

time at 65 mph = 220/65 = 3.385 hours
= 3 hours and .385(60) minutes
= 3 hours 23 minutes , to the nearest minute

To determine the correct solution, let's calculate the time it would take the family to drive 220 miles at a speed of 65 miles per hour.

To find the time, we can use the formula:

Time = Distance / Speed

Given:
Distance = 220 miles
Speed = 65 miles per hour

Time = 220 miles / 65 miles per hour

Now, let's perform the calculation:

Time = 3.3846153846153844 hours

To convert this decimal value into minutes, we multiply it by 60:

Time = 3.3846153846153844 hours * 60 minutes/hour

Time = 203.0769230769230672 minutes

Rounding this value to the nearest whole number, we get:

Time ≈ 203 minutes

Since we rounded down, the correct answer is 3 hours and 23 minutes.

Therefore, the family will take 3 hours and 23 minutes to reach their cabin if they drive at a speed of 65 miles per hour, which matches the answer in the math book.