Question

Ken and Donna are driving from Baltimore, MD to Richmond, VA for a wedding. The total distance they must drive is 131 miles. Since the reception is late, they decided to get a bite to eat along the way. They want the first part of the trip to be 65 miles more than the second part. How many miles will they drive before they stop?

Answer 1

The distance they drive before they stop is 98 miles.

Explanation:

Since Ken and Donna are supposed to drive a total distance of 131 miles from Baltimore, MD to Richmond, VA for the wedding. If the first part of the journey is supposed to be 65 miles more than the second part. Let the second part be x miles. So, the first part is x + 65 miles

Since the total distance covered is 131 miles,

x + x + 65 = 131

adding the x's, we have

2x + 65 = 131

subtracting 65 from both sides, we have

2x = 131 - 65

2x = 66

dividing both sides by 2, we have

x = 66/2

x = 33 miles.

So, for the first part the distance travelled is x + 65 miles, so, x + 65 = 33 + 65 = 98 miles. So, the distance they drive before they stop is 98 miles.