Question

[10]
Saima can blow 15 balloons in 20 minutes. Sara can blow 18
balloons in 25 minutes, Ahmed can blow 16 balloons in 21
minutes and Bilal can blow 12 balloons in 23 minutes. Assuming
that all balloons are blown to the same size, who can blow
balloons at the fastest rate?
(5)​

Answer 1

Given :- Saima can blow 15 balloons in 20 minutes. Sara can blow 18 balloons in 25 minutes, Ahmed can blow 16 balloons in 21 minutes and Bilal can blow 12 balloons in 23 minutes. Assuming that all balloons are blown to the same size, who can blow balloons at the fastest rate?

Answer :-

→ Saima can blow balloons in 20 minutes = 15

so,

→ saima can blow in 1 min = (15/20) = (3/4)

and,

→ Sara can blow in 25 minutes = 18

so,

→ saima can blow in 1 min. = (18/25) = (18/25)

and,

→ Ahmed can blow in 21 minutes = 16

so,

→ saima can blow in 1 min. = (16/21) = (16/21)

and,

→ Bilal can blow in 23 minutes = 12

so,

→ saima can blow in 1 min. = (12/23)

then,

→ Rate of saima , sara , ahmed and bilal per minutes = (3/4) , (18/25) , (16/21) , (12/23)

→ LCM of 4, 25, 21 and 23 = 48300

so,

→ (3/4) , (18/25) , (16/21) , (12/23)

→ (36225, 34776, 36800, 25200)/48300

since,

→ 36800 is largest .

therefore, we can conclude that,

→ (36800/48300) = (16/21) is largest .

hence, we can say that, Ahmed can blow balloons at the fastest rate .

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Answer 2

Given :  Saima can blow 15 balloons in 20 minutes.

Sara can blow 18 balloons in 25 minutes,

Ahmed can blow 16 balloons in 21 minutes and

Bilal can blow 12 balloons in 23 minutes.

Assuming that all balloons are blown to the same size,

To Find : who can blow balloons at the fastest rate

Solution:

Balloons  15 , 18 , 16 12  

LCM = 720

Saima can blow 15 balloons in 20 minutes.

=>  Saima can blow 720  balloons in  960  minutes

Sara can blow 18 balloons in 25 minutes,

=>  Sara can blow 720  balloons in  1000  minutes

Ahmed can blow 16 balloons in 21 minutes and

=>   Ahmed can blow 720 balloons in  945 minutes

Bilal can blow 12 balloons in 23 minutes.

=> Bilal can blow 720 balloons in  1380  minutes

Ahmed take least time  945 minutes to blow equal balloons

Hence Ahamed can blow at fastest rate

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