Problem
A businessman drives from Washington, D.C. to Boston, a distance of 442 miles, and then makes the return trip. On the way to Boston, he drives 65 miles per hour, taking a 1-hour rest stop during the drive. After finishing his business in Boston, he makes the return trip driving at 60 miles per hour and takes a 45-minute rest stop halfway through the trip.
Which leg of the journey, Washington, D.C. to Boston, or Boston to Washington, D.C. takes the longer time?
Please study the answer I posted for your last question. Then make an attempt to solve this problem yourself. We'll be glad to check your answer.
To determine which leg of the journey takes longer, we need to calculate the total time for each leg separately.
For the trip from Washington, D.C. to Boston, the businessman drives 442 miles at a speed of 65 miles per hour. To calculate the total driving time, we divide the distance by the speed:
Total driving time = Distance / Speed = 442 miles / 65 miles per hour.
After calculating this value, we need to add the 1-hour rest stop. Since it is an hour, it can be directly added to the total time.
Total time from Washington, D.C. to Boston = Total driving time + Rest stop time.
Now let's calculate the time for the return trip from Boston to Washington, D.C.
Similarly, the businessman drives 442 miles at a speed of 60 miles per hour:
Total driving time = Distance / Speed = 442 miles / 60 miles per hour.
We also have a 45-minute rest stop halfway through the trip. To add this to the total time, we convert 45 minutes into hours by dividing it by 60:
Rest stop time in hours = 45 minutes / 60 minutes per hour.
Total time from Boston to Washington, D.C. = Total driving time + Rest stop time.
Now that we have calculated the total times for both legs of the journey, we can compare them to determine which leg takes longer.