Math, asked by Shreyanshdhawan, 1 year ago

I HAVE ASKED 2 QUESTION FOR 20 POINTS ( EACH FOR 10 POINTS )
PLEASE ANSWE IT AND I WILL RATE U 5 STSR FOR ANSWERING IN 10 MIN, 4 STARS FOR ANSWEING 1N 15 MIN , 3 STARS FOR ANSWEING IN 20 MIN AND 2 STARS FOR ANSWEING. IF U WILL NOT ANSWER AND WRITE NONSENSE THEN I WILL GIVE U NOTHING .
SO MY QUESTIONS ARE
1. TWO PERSONS START MOVING FROM TWO POINTS A AND B IN OPPOSITE DIRECTION TOWARDS EACH OTHER. ONE PERSON START MOVING FROM A AT THE SPEED OF 4KM / H AND MEETS THE OTHER PERSON COMING FROM B AFTER 6 HOURS. IF THE DISTANCE BETWEEN A AND B IS 42 KM FIND THE SPEED OF THE OTHER PERSON
2. THERE ARE SOME BENCHES IN A CLASSROOM . IF 4 STUDENTS SIT ON EACH BENCH THEN 3 BENCHES REMAIN EMPTY AND IF 3 STUDENT SIT ON EACH BENCH THEN 3 STUDENTS REMAIN STANDING . FIND THE NO. OF STUDENTS IN THE CLASS.

I AM ONLINE IF U HAVE TO ASK ANYTHING ABOUT QUESTION U CAN ASK
THANX FOR SOLVING IT

Answers

Answered by varun000
2
♡why did you write so much....


★Let the number of students = y
let the number of benches = x

from the first statement
y=4x−12 (three empty benches * 4 students)

from the second statement
y=3x+3

Substituting equation 2 into equation 1

3x+3=4x−12

rearranging
x=15

Substituting the value for x in equation 2
y=3⋅15+3=48

hence,your answer is 48


Shreyanshdhawan: Its written 48 only behind my book
varun000: okay, dear
priyasoundh: 1. 3 km/hr. 2. 48 students
varun000: I can't solve first question sorry... I need to solve on paper for that
varun000: ye
priyasoundh: if A walks 4km/hr he meets B after 6 hours. then he walks 24 km. B also take same time. then B walks 18 km for 6 hours. so speed of B is 3km/hr.
Shreyanshdhawan: Ok no problem
Shreyanshdhawan: Siddhart write fast
Shreyanshdhawan: Wow i checked it ur answer was correct it is 3km /h only . Thsnk u
siddhartharao77: :-)
Answered by siddhartharao77
10
(1)

The distance between A and B = 42km/hr.

They are traveling in the opposite direction.

Given that one person starts moving from A at 4km/hr and meets other person coming from B after 6 hours

Distance covered by the 1st person in 6 hours = 4 * 6

                                                                              = 24 kms.


Distance traveled by the 2nd person = Distance between A and B - Distance traveled by A

= 42 - 24

= 18km.


Now,

The speed of the other person = Distance/Time

                                                     = 18/6

                                                     = 3 km/hr.


Therefore the speed of the other person = 3km/hr.




(2)

Let the number of benches in the class = x.

Given that 4 students sit on each bench then 3 benches remain empty = 4(x - 3).  ------ (1)

Given that if 3 students sit on each bench then 3 students remain standing.
= 3x + 3.  ------ (2)


Now,

on solving (1) & (2), we get

4(x - 3) = 3x + 3

4x - 12 = 3x + 3

4x = 3x + 3 + 12

4x = 3x + 15

4x - 3x = 15

x = 15

Therefore there are 15 benches.

Substitute x = 15 in above equations, we get the result as :

4(x - 3)

4(15 - 3)

4 * 12

48.


Therefore the total number of students in the class = 48.


Hope this helps!

siddhartharao77: :-)
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