When you travel to work going 60 mph, you
arrive there early.
When you travel to work going 30 mph, you
arrive there late.
The amount of time you are early is also the
amount of time you are late.
How fast should you go to get to work exactly on time?
Solution to Problem:
You should travel at 40 mph.
Let x = distance to work (in miles).
Rate | Time | Distance | |
Early | 60 mph | x/60 hr | x miles |
Late | 30 mph | x/30 hr | x miles |
On Time | 40 mph | x/40 hr | x miles |
You should average the two times x/60 and x/30
since the amount of time you arrive early equals
the amount of time you arrive late.
(x/60 + x/30) / 2 = x/40
If you travel x miles in x/40 hours, you must
travel at 40 mph.
Correctly solved by:
1. David Dixon | Bennettsville, South Carolina |
2. Rich Murray | Ridgetown, Ontario |
3. Walt Arrison | Philadelphia, Pennsylvania |
4. Sasha Joseph | Hebron, Maine |
5. Ryan Charest | Winchester, Virginia |
6. Ricki Stern | Highland Park, New Jersey |
7. Keith Mealy | Cincinnati, Ohio |
8. Kasturi Rajendran | ---------- |
9. Steve Stermer | Colorado Springs, Colorado |
10. Izzy Kushner | Closter, New Jersey |
11. Erin McGinnis | Winchester, Virginia |
12. Evelyne Stalzer | New Jersey |
13. Kirstine Wynn | Winchester, Virginia |
14. David Powell | Winchester, Virginia |
15. Jim Kennedy | Limerick, Ireland (via Holland) |
16. Bill Hall | Wellington, Florida |
17. Geoff Keith | Santa Monica, California |
18. Richard Johnson | La Jolla, California |