Larry C. answered • 02/06/19
Computer Science and Mathematics professional
Since you drive faster than your friend, the longer you drive the farther you'll go. However, you have 2 limitations: your friend must more hours than you do and the total time driven between the two of you must be less than 15 hours. The only questionable part is whether by 'more hours' they mean full hours or not.
If we go with the assumption that each driver's total drive time must be an exact number of hours, then you would drive 6 hours covering 420 miles and your friend drove 8 hours covering 480 miles.
If each doesn't have to drive an exact number of hours and the 'more hours' means complete hours, then your friend could still drive 8 hours for that 480 miles and you could drive 6 hours, 59 minutes and 59 seconds for just slightly under 490 miles.
Larry C.
Assuming you mean the first alternative answer, You want to drive as much as possible since you drive faster. But, there is the stipulation that your friend must drive at least one more hour than you do and that together the two of you drive less than 15 hours. So, since the largest integer smaller that 15 is 14, the two of you drive to total of that amount. If we let y stand for the number of hours you drive and f the number your friend drives: y + f = 14 -> f = 14 - y y < f leads to y < 14 - y to 2y < 14 to y < 7 Since you want to drive as many hours as possible, y = 6 and f = 14 - 6 = 8 So you cover 6*70 + 8*60 = 420 + 480 = 900 miles in 14 hours02/06/19
Jazmin F.
can you show how you got that answer02/06/19