The amoeba Olympics

A speedy amoeba can travel at about 1 0 5 m/s 10^{-5}~\mbox{m/s} . If such an amoeba won the "1 millimeter dash" event at the amoeba Olympics, what would be the winning time in seconds ?


The answer is 100.

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19 solutions

Prince Raiyan
Jul 26, 2013

We know, d = v t t = d v d=vt \Longrightarrow t= \frac {d}{v} where, d is the distance traveled, t is the time taken and v is the velocity...

From the question, we get,

d = 1 m m = 1 1000 m d = 1 mm = \frac {1}{1000} m

v = 1 0 5 m / s = 1 1 0 5 m / s = 1 100000 m / s v = 10^{-5}m/s = \frac {1}{10^{5}}m/s = \frac {1}{100000}m/s

t = ? t = ?

Plugging in the values in the formula, we get...

t = 1 1000 m 1 100000 m / s = 100000 1000 s = 100 s t = \frac {\frac {1}{1000}m}{\frac {1}{100000}m/s} = \frac {100000}{1000}s = 100 s

Hence, the required answer is, 100 \fbox {100}

Daniel Liu
Jul 27, 2013

1 millimeter is 1 0 3 10^{-3} meters. The answer is therefore 1 0 3 1 0 5 = 100 seconds \dfrac{10^{-3}}{10^{-5}}=\boxed{100\text{ seconds}}

Parag Motwani
Jul 26, 2013

speed of amoeba= 1/100000 m/s

distance=1/1000 m

so time=distance/speed=100 seconds

Yicheng Li
Jul 25, 2013

1 m m = 0.1 c m = 0.001 m 1mm = 0.1cm = 0.001m

0.001 m 1 0 5 m / s = 100 s \frac{0.001m}{10^{-5}m/s} = 100s

Zhen Xian Hew
Jul 24, 2013

From the velocity formula v =s/t, so t = s/v =0.001/ 10^-5 = 100 seconds

Ahmed Fahmy
Jul 24, 2013

(10E-3) / (10E-5)

Anton Than Trong
Jul 23, 2013

10^-5 m/s is also 10^-2 mm/s, which also converts to 1/100 of a millimeter per second. Thus, the time that would take an amoeba to run the "1 millimeter dash" is 100 seconds.

Time = Distance/Velocity

Henry Okafor
Jul 23, 2013

1mm=10E-3. time=distance/speed=10E-3/10E-5=100

Shashank Gupta
Jul 23, 2013
Fernando Henrique
Jul 22, 2013

10^-5 = 0,00001= {1}{100000} 1 mm = 10^-3 = 0,001 = {1}{1000}

Assim Temos Fração por Fração , Conservar a Primeira e Multiplica pela o Inverso da Segunda

{1}{1000} x {100000}{1} = {100000}{1000} = 100

We know that to calculate the time, we can use this popular formula :

S = V x t

So, we get t = S / V = 10 ^ -3 / 10 ^ -5 = 100 seconds

Rhiannon Savage
Jul 22, 2013

Time=Distance/Speed 1mm=0.001m Time=0.001/10^{-5}=100 seconds

Wee Hau Chin
Jul 22, 2013

Speed = Distance / Time , therefore Time = Distance / Speed. 1 millimeter = (10^-3)m. Thus, the time taken = (10^-3)/(10^-5) = 100 seconds.

Tan Li Xuan
Jul 21, 2013

Using 1 m m = 1 0 3 m 1mm = 10^{-3}m we can get 1 0 3 1 0 5 = 100 ( s ) \frac {10^{-3}}{10^{-5}} = 100(s)

Archit Gupta
Jul 21, 2013

Speed of Amoeba = v =10^(-5) m/s. Distance travelled by Amoeba = s = 10^(-3) m Therefore,time taken to cover the required distance = t = s/v =100 s.

Ayon Pal
Jul 21, 2013

A amoeba's speed = 1 0 5 10^{-5} meter ; Total Distance = 1 1 millimeter = 1 0 3 10^{-3} meter ; So, Total time = 1 0 3 / 1 0 5 10^{-3}/10^{-5} = 100 100

Adeetya Tantia
Jul 21, 2013

Speed given = 10^-5 m/s distance= 1 mm or 10^-3 m time= distance/speed time= 10^-3 / 10^-5 time=10^2=100

Andrias Meisyal
Jul 21, 2013

We know that, the velocity is defined in the physic that v = {frac}{s}{t} , v, s, t consequenly are velocity in meter/seconds, distance in meter, and time in seconds

So, the amoeba has velocity = 10^{-5} m/s and distance = 1 mm = 10^{-3} m, then the time is velocity x time = 100 seconds.

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