Question

Two space probes revolve around the Earth in different orbits: the first passes every three hours on the same point and the second every four and a half hours. > If you see them together at a certain time, how long will it take to see them together again?​

Answer 1

$\huge{\fbox{\pink{Answer:-}}}$

Here, the required minimum distance will be equal to the LCM of measures of their steps.

Step measure of $\huge{\purple{Mother}}$ = 55 cm

Step measure of her $\huge{\purple{Child}}$ = 25 cm

LCM of 55, 25

LCM = 275

Hence, after 275 cm they will step together again.

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$\huge{\fbox{\green{275⠀cm.}}}$

Answer 2

time taken By first probe. =. 3 hr

time taken By second probe =. 4 1/2 hr

next time. = 4. 1/2 + 3

= 7. 1/2 hr