The car makes 10mpg. Each day driver buys $10 worth of gas and drives until the tank is empty?

Question

At first day gas price was $1 per galllon.
At second day gas price was $2 per galllon.
At third day gas price was $3 per galllon, and continued to gain one more dollar every day.

Will the odometer ever show 1000 miles?

Answer 1

day one = 100 miles
day two = 50 extra miles, total 150 miles
day three = 3.34 gallons, 33.34 daily miles, total 183.34 total miles
day four = 2.5 gallons, 25 miles, total 208.34 total miles
day five = 2 gallons, 20 miles, total 228.34 miles
day six = 1.66 gallons, 16.66 miles, total 245 miles
day seven = ect ect.

after day 10 you will be buying less than a gallon each day, but you will still be buying gas and still moving some.

such as, on day 20 you will be buying 1/2 gallon and traveling 5 miles.
on day 30 you will be buying 1/3 gallon and traveling 3.33 miles
on day 40 you will be buying 1/4 gallon and traveling 2.5 miles
on day 50 you will be buying 1/5 gallon and traveling 2 miles

so, assuming you don't have to travel to the gas station each time, that the gas is delivered to you, you will eventually reach 1000 miles.

12365 0.000808734 0.008087343 999.9881281
12366 0.000808669 0.008086689 999.9962148
12367 0.000808604 0.008086035 1000.004301
12368 0.000808538 0.008085382 1000.012386
12369 0.000808473 0.008084728 1000.020471
12370 0.000808407 0.008084074 1000.028555
at day 12367 you will reach 1000.004301 miles.

eventually you will reach 1000 miles as you will always get some amount of gas. but it will take a very long time. just continue the process and eventually you can figure it out.

Answer 2

The car makes 10mpg. Each day driver buys $10 worth of gas and drives until the tank is empty?

Answer 3

This is a harmonic series, which diverges, so the car can even make it to the moon too. However, should the car's fuel efficiency drop as it ages, such as at any slight exponential decay at all, then the series would converge, and maybe it might not make it to the moon, or even the 1000 miles.

Answer 4

$1 pg __ can buy 10g __ runs 100m

$2 pg __ can buy 5g __ runs 50m

$3 pg __ can buy 3 1/3g __ runs 33 1/3m

$4 pg __ can buy 2.5g __ runs 25 miles

$5 pg __ can buy 2g __ runs 20m

$6 pg __ can buy 1 2/3g __ runs 16 2/3 miles

$7 pg __ can buy 1 3/7 g __ runs 14 2/7 m

$8 pg __ can buy 1 1/4g __ runs 12 1/2 m

$9 pg __ can buy 1 1/9g __ runs 11 1/9m

$10 pg __ can buy 1 g __ runs 10 miles


all other numbers are impossible as it exceeds the $10 limit

if you calculate all the numbers together the answer is..

292.8968254m

which means that it will never show 1000 miles

Answer 5

Husbands mistress?

Answer 6

Why do guys get nervous around girls?

Answer 7

An I in the friend zone?

Answer 8

sum [10/n]; n from 1 to infinity is never going to sum up to 100, so 10 time the answer will be less than 1000. so, odometer won't ever show 1000 miles.

Answer 9

mocristy is right. Run this program in Basic or its equivalent in another language and you'll see.
price = 0: i = 0
DO
i = i + 1
price = price + 1
gal = 10 / price
mi = mi + 10 * gal
LOOP UNTIL mi >= 1000
PRINT i; mi

Answer 10

Im not gonna confuse u wth all those numbrs so, no the odometer will nevr show 1000 miles.