A man begins a car trip to visit his in-laws.The total distance is 50miles, and

Question

A man begins a car trip to visit his in-laws.The total distance is 50miles, and he starts off at a speed of 60 miles per hour. After driving exactly 1 mile,he loses some of his enthusiasm for the journey and instantaneously slows down to 59 miles per hour. After traveling another mile, he again slows to 58 miles per hour. This continues progressively slowing by 1 mile per hour for each mile traveled until the trip is complete. 1) how long would the trip take in the continuous case where the speed smoothly diminishes with the distance yet to travel? A man begins a car trip to visit his in-laws.The total distance is 50miles, and he starts off at a speed of 60 miles per hour. After driving exactly 1 mile,he loses some of his enthusiasm for the journey and instantaneously slows down to 59 miles per hour. After traveling another mile, he again slows to 58 miles per hour. This continues progressively slowing by 1 mile per hour for each mile traveled until the trip is complete. 1) how long would the trip take in the continuous case where the speed smoothly diminishes with the distance yet to travel? 1) how long would the trip take in the continuous case where the speed smoothly diminishes with the distance yet to travel?

Explanation / Answer

As man slows down after driving every one km so the time taken to cover 1 mile distance would be 1/(speed of car) in hours. We can convert in minutes multiplying the time in hours with 60. Applying distance formula to calculate time from 1/60+1/59+....+1/11 we go750902 hrs Thus time after each 1 km till he covers 50 miles in minutes is105.05 minutes.

* If this answer helps give thumbs up and if any edit required let me know in comments I will get on it as soon as possible.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.