Math, asked by sapna69, 1 year ago

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Answers

Answered by Anonymous
11
Hey Sapna,

Here is your solution :

====================================

1.

As,30 men can do 1/7 part of work in 2 days.

So, 1 man will do 1 work in ( 2 × 7 × 30 ) days

= 420 days

As, 1 man can do a work in 420 days.

So, 21 men will do it in ( 420 ÷ 21 ) days

= 20 days.

Ans : 20 days
______________________________

2.

Given,

10 men = 18 women

1 man = ( 18/10 ) women

6 men = ( 18 × 6 / 10 ) women

6 men = 10.8 women.

Now,

= 6 men + 12 women

= ( 10.8 + 12 ) women

= 22.8 women

Now,

As, 18 women can do a job in 38 days.


So, 1 woman will do it in ( 38 × 18 ) days.

= 684 days


So, 22.8 women will do it in ( 684 / 22.8 ) days

= 30 days

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3.

As, 1 week = 7 days

So, 5 weeks = ( 7 × 5 ) days = 35 days

As, in 1 day Arun walks 226 m.

So, in 35 days he will walk ( 226×35 ) m

=7,910 m

As, 1,000 m = 1 km

So, 1 m = ( 1 ÷ 1000 ) km

So, 7,910 m = ( 7,910 ÷ 1,000 ) km

= 7.91 km

Ans : 7.91 km
______________________________

4. 15 1/3 = 46/3.

As, in ( 2/3 )hours he makes 1 toy.

So, in 1 h , he will make ( 3/2 ) toys.

So, in ( 46/3 ) h , he will make ( 3× 46 ) ÷ ( 3 × 2 ) toys

= 23 toys.

Ans : 23 toys
______________________________

5.

Suppose, N stands for Neetu and M for Meenu.

Now,

In 10 days , ( N + M ) can do a work.

So, in 1 day , ( N + M ) will do ( 1/10 ) work.

Now,

As, in 12 days N can do that work.

So, in 1 day N will do ( 1/12 ) work.

Again,

N + M = 1/10 work

( 1/12 ) work + M = 1/10 work

M = { ( 1/10 ) - ( 1/12 ) } work

M = ( 6 - 5 )/60 work

M = ( 1/60 ) work

As, M can do 1/60 work in 1 day.

So, M will do 1 work in 60 days.

Ans : 60 days

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6.

As,in ( 8 × 10 )h , 24 workers can do a work.

So, in 1 h , 24 workers in will do ( 1/80 ) work.

So, in 60 h, 24 workers will do ( 60/80 ) work.

= ( 3/4 ) work.

As , ( 3/4 ) work is done by 24 workers in 60h.

So, 1 work willl be done by ( 24 × 4 ÷ 3 ) workers in 60h.

= 32 workers

Ans : 32 workers.

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7.

As, in 14 days both can do 1 work.

So, in 1 day both will do ( 1/14 ) work.

Now,

Let , Sambhavi can do that job in x.

So, Sandhya will do that job in 2x.

Work done by Sambhavi in 1 day = 1/x

Work done by Sandhya in 1 day =1/2x

Now,

( 1/x ) + ( 1/2x ) = 1/14

( 2+ 1 ) / 2x = 1/14

3/2x = 1/14

2x = 14 × 3

x = ( 14 × 3 ) ÷ 2

x = 21 days.

Sandhya = 2x = 2 × 21 days = 42 days.

Ans : 42 days.

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8.

As there was enough food for 200 soldiers for 31 days .

So, after 27 days also there was enough food for soldiers for 4 days.

Now, 120 soldiers left the group.

Remaining soldiers = 200 - 120 = 80.

As 200 soldiers had food for 4 days.

So, 1 soldier will have food for 200 × 4 days.

So,80 soldiers will have food for 800÷80 days

= 10 days

Extra days = ( 10 - 4 ) days = 6 days.

Ans : 6 days.

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9. Work done by A in 1 day = 1/24

Work done by B in 1 day = 1/30

Work done by A + B + C in 1 day = 1/12

A + B + C = A + B + C

( 1/24 ) + ( 1/30 ) + C = 1/12

C = { ( 1/12 ) - ( 1/24 ) - ( 1/30 ) }

C = ( 10 - 5 - 4 ) / 120

C = 1/120

As C can do 1/120 work in 1 day.

So,C will do 1 work in 120 days.

Work done by A in 12 days = 12/24 = 1/2

Work done by B in 12 days = 12/30 = 2/5

Work done by C in 12 days = 12/120 = 1/10

A's share = Rs.5000 ÷ 2 = Rs.2,500

B's share = ( Rs.5000 × 2 )÷ 5 = Rs.2,000

C's share = ( Rs.5000 ÷ 10 ) = Rs.500

====================================

Hope it helps !!

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Answered by acsahjosemon40
2

Answer:

Heya Sapna di,

Here is your solution :

====================================

1.

As,30 men can do 1/7 part of work in 2 days.

So, 1 man will do 1 work in ( 2 × 7 × 30 ) days

= 420 days

As, 1 man can do a work in 420 days.

So, 21 men will do it in ( 420 ÷ 21 ) days

= 20 days.

Ans : 20 days

______________________________

2.

Given,

10 men = 18 women

1 man = ( 18/10 ) women

6 men = ( 18 × 6 / 10 ) women

6 men = 10.8 women.

Now,

= 6 men + 12 women

= ( 10.8 + 12 ) women

= 22.8 women

Now,

As, 18 women can do a job in 38 days.

So, 1 woman will do it in ( 38 × 18 ) days.

= 684 days

So, 22.8 women will do it in ( 684 / 22.8 ) days

= 30 days

_________________

3.

As, 1 week = 7 days

So, 5 weeks = ( 7 × 5 ) days = 35 days

As, in 1 day Arun walks 226 m.

So, in 35 days he will walk ( 226×35 ) m

=7,910 m

As, 1,000 m = 1 km

So, 1 m = ( 1 ÷ 1000 ) km

So, 7,910 m = ( 7,910 ÷ 1,000 ) km

= 7.91 km

Ans : 7.91 km

______________________________

4. 15 1/3 = 46/3.

As, in ( 2/3 )hours he makes 1 toy.

So, in 1 h , he will make ( 3/2 ) toys.

So, in ( 46/3 ) h , he will make ( 3× 46 ) ÷ ( 3 × 2 ) toys

= 23 toys.

Ans : 23 toys

______________________________

5.

Suppose, N stands for Neetu and M for Meenu.

Now,

In 10 days , ( N + M ) can do a work.

So, in 1 day , ( N + M ) will do ( 1/10 ) work.

Now,

As, in 12 days N can do that work.

So, in 1 day N will do ( 1/12 ) work.

Again,

N + M = 1/10 work

( 1/12 ) work + M = 1/10 work

M = { ( 1/10 ) - ( 1/12 ) } work

M = ( 6 - 5 )/60 work

M = ( 1/60 ) work

As, M can do 1/60 work in 1 day.

So, M will do 1 work in 60 days.

Ans : 60 days

______________________________

6.

As,in ( 8 × 10 )h , 24 workers can do a work.

So, in 1 h , 24 workers in will do ( 1/80 ) work.

So, in 60 h, 24 workers will do ( 60/80 ) work.

= ( 3/4 ) work.

As , ( 3/4 ) work is done by 24 workers in 60h.

So, 1 work willl be done by ( 24 × 4 ÷ 3 ) workers in 60h.

= 32 workers

Ans : 32 workers.

_______________________________

7.

As, in 14 days both can do 1 work.

So, in 1 day both will do ( 1/14 ) work.

Now,

Let , Sambhavi can do that job in x.

So, Sandhya will do that job in 2x.

Work done by Sambhavi in 1 day = 1/x

Work done by Sandhya in 1 day =1/2x

Now,

( 1/x ) + ( 1/2x ) = 1/14

( 2+ 1 ) / 2x = 1/14

3/2x = 1/14

2x = 14 × 3

x = ( 14 × 3 ) ÷ 2

x = 21 days.

Sandhya = 2x = 2 × 21 days = 42 days.

Ans : 42 days.

_______________________________

8.

As there was enough food for 200 soldiers for 31 days .

So, after 27 days also there was enough food for soldiers for 4 days.

Now, 120 soldiers left the group.

Remaining soldiers = 200 - 120 = 80.

As 200 soldiers had food for 4 days.

So, 1 soldier will have food for 200 × 4 days.

So,80 soldiers will have food for 800÷80 days

= 10 days

Extra days = ( 10 - 4 ) days = 6 days.

Ans : 6 days.

_______________________________

9. Work done by A in 1 day = 1/24

Work done by B in 1 day = 1/30

Work done by A + B + C in 1 day = 1/12

A + B + C = A + B + C

( 1/24 ) + ( 1/30 ) + C = 1/12

C = { ( 1/12 ) - ( 1/24 ) - ( 1/30 ) }

C = ( 10 - 5 - 4 ) / 120

C = 1/120

As C can do 1/120 work in 1 day.

So,C will do 1 work in 120 days.

Work done by A in 12 days = 12/24 = 1/2

Work done by B in 12 days = 12/30 = 2/5

Work done by C in 12 days = 12/120 = 1/10

A's share = Rs.5000 ÷ 2 = Rs.2,500

B's share = ( Rs.5000 × 2 )÷ 5 = Rs.2,000

C's share = ( Rs.5000 ÷ 10 ) = Rs.500

====================================

Hope it helps !!

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