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3 years ago

14

Three babies A,B and C cry out at interval time. Baby A cries out at every 20 mins, while B cries out at every 30 mins and C cri

es out at every 40 mins. if they are observed at the same time, after what time will the three of them cry together?
A. after 20 minutes
B. after 30 minutes
C. after 40 minutes
D. after 120 minutes

2 answers:

BabaBlast [244]3 years ago

6 0

The answer will be D. After 120 minutes, because by looking at the three numbers, 20, 30, and 40, you have to find the common multiple for all three numbers, and in this case, 120 will fit all three numbers perfectly.

Kaylis [27]3 years ago

3 0

They all cried 210 minutes if u want it in hrs divide

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The first step is finding $y_{n}(t)$ . So:

$y' + 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r + 4 =$

$r = -4$

So:

$y_{n}(t) = y_{0}e^{-4t}$

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

So

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The solution in the form is

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6 0

3 years ago