Q1-Represent 1032m-408n find the value of m and n.

Q2-At an international airport, planes take off from five different runways at 3,4,8,12,15 minutes intervals. At 7:30 a.m., planes took off from all five runways simultaneously. When will the five planes take off together again?

Asked by jyotsnayadav14 | 17th Sep, 2016, 02:34: PM

Expert Answer:

begin mathsize 12px style The space first space question space seems space to space be space incomplete. space Kindly space write space it space clearly space henceforth space so space that space we space could space help space you space better.
straight I space am space considering space this space as space the space question. space
If space the space HCF space of space 408 space and space 1032 space is space expressible space in space the space form space 1032 straight m minus 408 cross times 5 comma space find space straight m.
Solution colon
HCF space of space 408 space and space 1032 space is space 24.
rightwards double arrow 24 equals 1032 straight m minus 408 cross times 5
rightwards double arrow 24 equals 1032 straight m minus 2040
rightwards double arrow 2064 equals 1032 straight m
rightwards double arrow straight m equals 2064 over 1032 equals 2
So comma space the space value space of space straight m space is space 2.

Solution space 2 colon
The space planes space leave space at space intervals space of space 3 comma space 4 comma space 8 comma space 12 comma space 15 space mins space at space 7.30 space straight a. straight m.
So comma space the space planes space will space take space off space again space together comma space after space time space which space equals space the space LCM space of space 3 comma space 4 comma space 8 comma space 12 comma space 15 space mins.
LCM space of space 3 comma space 4 comma space 8 comma space 12 comma space 15 space equals 120
That space is space after space 120 space minutes space equals 2 space hours space the space 5 space planes space will space take space together comma space that space is space at space 9.30 space straight a. straight m.

Kindly space post space 1 space query space at space straight a space time space please.
end style

Answered by Rebecca Fernandes | 17th Sep, 2016, 09:48: PM