Kamal's family is leaving for Merry Mountain Resort once his parents get home from work on Friday. Their house is 627 miles from the resort. They plan to stop and spend the night at a hotel after 4 hours of driving, then complete the rest of the trip on the second day. Their average speed is 60 miles per hour. Which equation can you use to find how long, x, they will drive on the second day? Choices: (A)60(x + 4) = 627 (B)4x + 60 = 627 (C)4(x + 60) = 627 (D)60x + 4 = 627

Question

Kamal's family is leaving for Merry Mountain Resort once his parents get home from work on Friday. Their house is 627 miles from the resort. They plan to stop and spend the night at a hotel after 4 hours of driving, then complete the rest of the trip on the second day. Their average speed is 60 miles per hour. Which equation can you use to find how long, x, they will drive on the second day?   Choices: (A)60(x + 4) = 627 (B)4x + 60 = 627 (C)4(x + 60) = 627 (D)60x + 4 = 627

Bytelearn · Accepted Answer

Calculate Distance Covered:  Calculate the distance covered in the first 4 hours of driving. Since they drive at 60 miles per hour for 4 hours, the distance covered is 60 miles/hour * 4 hours = 240 miles. Determine Remaining Distance:  Determine the remaining distance to be covered on the second day. The total distance to the resort is 627 miles. Subtract the distance covered on the first day (240 miles) from the total distance: 627 miles - 240 miles = 387 miles. Set Up Equation:  Set up the equation to find the time, x, they will drive on the second day. They need to cover the remaining 387 miles at a speed of 60 miles per hour. The equation relating distance, speed, and time is Distance = Speed * Time. Here, it translates to 387 = 60x.

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