A van travels a maximum of 100 km/h. Its speed decreases in proportion with the number of passengers. The van can carry a maximum of seven people. Given that the van can travel 88 km/h with 3 people in the van, what will be the speed of the van when 6 people are on board?
2006-08-24 01:54:13 · 15 answers · asked by turtle_luvs 1 in Science & Mathematics ➔ Mathematics
76 km/h
2006-08-24 02:00:29 · answer #1 · answered by BookLovr5 5 · 0⤊ 4⤋
The answer would change whether the decrease in max speed with more people is linear or non-linear, and I'm not sure of which it is from the wording of the question.
Assuming a linear decrease, the maximum is 100 km/h with 1 person (boy that's not much!) and 100-88=12 km/h less with 2 more people. Each additional person decreases the speed by 6 km/h. 6 people would be yet 3 more, so the max speed would decrease by 6*3=18 km/h. That answer would then be 88-18=70 km/h.
2006-08-24 02:03:33 · answer #2 · answered by Kyrix 6 · 1⤊ 2⤋
I'm thinking that the answer is 64 km/h. Because 100 is the max but I assume that this is with 1 person in the van. Therefore it loses 12 km/h for the extra 2 people. If you add 4 more on top of that it would decrease by 24 km/h, which would make it 64 km/h. This is assuming that everyone weighs the same and that there are constant decreases... which are both dumb assumptions
2006-08-24 01:59:28 · answer #3 · answered by Dan 2 · 1⤊ 2⤋
answer is 76 km/h
take maximum speed 100km/h minus 88 km/h you get 12 km/h. when there's 3 people in the van, speed decreases 12km/h. which means each person added decreases 12 km/h divided by 3 = 4 km/h. So when 3 extra people are added. Take a way 3 x 4 km/h from 88 km/h. you get 76 km/h.
2006-08-24 02:03:37 · answer #4 · answered by Stephanie K 2 · 0⤊ 2⤋
Lets call:
P = Speed decreasing per passanger
S(n) = Actual speed with n passengers on board
so...
P = (100-88)/3 = 4 km
then
S(n) = 100-4n
S(1) = 96 Km/h
S(2) = 92 Km/h
S(3) = 88 Km/h
S(4) = 84 Km/h
S(5) = 80 Km/h
S(6) = 76 Km/h <-- the answer you are looking for :-)
2006-08-24 02:01:51 · answer #5 · answered by QuietFire 5 · 0⤊ 2⤋
3 people reduce the van speed by 100 - 88 = 12 km/h
6 people will reduce the speed by twice as much , ie by 24 km/h
So the van speed will be 100-24 = 76 km/h
2006-08-24 02:57:41 · answer #6 · answered by Anonymous · 0⤊ 2⤋
Poorly derived question. The key is the amount of weight in the van. For example, if the 3 people each weigh 400 lbs, then the total is 1200 lbs. If the 6 people each weight 100 lbs, then the total is 600 lbs.
The van should move faster with the 6 people. If they all weigh the same amount, then the van would move faster with 3 people.
2006-08-24 02:05:07 · answer #7 · answered by SPLATT 7 · 0⤊ 2⤋
If there is one person (driver) then the speed is 100km/h.
If there are 3 people (ie.. 2 extra persons), the speed decreases by 12 km/h. this is 6 km/h for a person.
so for 6 persons the van will decrease speed by 36 km/h.
so the speed is 64km/h when there are 6 people on board.
2006-08-24 02:01:48 · answer #8 · answered by Anand 2 · 0⤊ 2⤋
100-88=12 . => Three fat people give your van an "extra" speed of -12km\h => -24km\h is given by 6 people => Speed is 100-24=76
2006-08-24 05:03:12 · answer #9 · answered by d13 666 2 · 0⤊ 2⤋
Its 76 km/h
2006-08-24 02:22:50 · answer #10 · answered by sweetie 5 · 0⤊ 2⤋
Maybe 76Km/h? If 3 people drop the speed by 12%, lets assume that 6 people will drop it 24%.
2006-08-24 02:00:57 · answer #11 · answered by Michael B 5 · 0⤊ 2⤋