I have 2 lines of a problem to understand...
"Bill and his dog walk home from the shopping center. It takes Bill 36 minutes and his dog walks twice as fast ".
when it says "his dog walks twice as fast" .....does it mean dog takes 18 minutes to reach home ?
please clarify
2007-06-09 20:09:17 · 8 answers · asked by calculus 1 in Science & Mathematics ➔ Mathematics
Yes.
This is so because:
Speed = D / T
Bill's speed: is x / 36 min
Dog's speed: is (x / 36)(2) = (2x/36) = x / 18
Since speed is D/T, the dog takes 18 minutes.
2007-06-09 20:17:28 · answer #1 · answered by Anonymous · 0⤊ 0⤋
yes, v = x/t. As times goes down, speed goes up at a constant rate.
in this case,Bill goes home in 38 min. The speed of the dog is twice the speed of Bill. Speed of the dog is doubled, then the time it takes the dog to walks home is reduced by one 1/2
2007-06-09 20:15:40 · answer #2 · answered by 7 · 0⤊ 0⤋
yes it is ... you mathematically, velocity (speed) is distance over time (m/s) hence:
let's take distance of travel by X m. (d = X m)
time for bill to walk is 36 minutes (t1 = 36 min.)
velocity of dog = 2 x velocity of bill (V2 = 2 V1)
time for dog to walk home ? (t2?)
*distance of both bill and dog are the same
V2 = 2 V1
d/t2 = 2 x d/t1
*cross out the distance
1/t2 = 2 x 1/36
2 t2 = 36
t2 = 18 minutes
[luv]+[peace]
2007-06-09 20:32:06 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Sounds like it to me. Pretty odd question - makes it sound like the dog goes home to wait for Bill ;-)
2007-06-09 20:17:15 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Yes! It can be confusing because twice as fast makes you think you should multiply not divide by 2. But you are exactly correct.
2007-06-09 20:43:04 · answer #5 · answered by jellybean 5 · 0⤊ 0⤋
Yes, but I wouldn't want a dog which walks off without me!
2007-06-09 20:17:39 · answer #6 · answered by Swamy 7 · 0⤊ 0⤋
leave your dog at home next time
2007-06-09 20:17:54 · answer #7 · answered by Anonymous · 0⤊ 1⤋
i would assume so.
2007-06-09 20:14:31 · answer #8 · answered by aznfanatic 5 · 1⤊ 0⤋