Question

b) Two typist working 5 hours a day, type a thesis in 21 days. How many
hours per day should 3 typist work to finish it in 10 days?​

Answer 1

Answer:

see 5 hours

21 days

10 days

so now we have to multiple

5×21×10=1,050

Answer 2

Given:

✰ Two typist working 5 hours a day, type a thesis in 21 days.

✰ Number of typist = 2

✰ Time taken ( in hours ) = 5

✰ Number of days = 21

To find:

✠ How many hours per day should 3 typist work to finish it in 10 days?

Solution:

Let's understand the concept! We know that Two typist working 5 hours a day, type a thesis in 21 days and we need to find how many hours per day should 3 typist work to finish it in 10 days, so we know that when the typist increase and the number of days decrease time taken for the arts will increase. Therefore, it is inverse variation.

Typistㅤ DaysㅤㅤㅤHrs

2ㅤㅤㅤㅤㅤ21ㅤㅤㅤㅤㅤ5

3ㅤㅤㅤㅤㅤ10ㅤㅤㅤㅤㅤx

In inverse variation,

✭ x₁y₁z₁ = x₂y₂z₂✭

Here,

• x₁ = 2
• y₁ = 21
• z₁ = 5
• x₂ = 3
• y₂ = 10
• z₂ = x

Substituting the values, we have:

➤ 2 × 21 × 5 = 3 × 10 × x

➤ 2 × 105 = 3 × 10 × x

➤ x = (2 × 105)/(3 × 10)

➤ x = 210/(3 × 10)

➤ x = 210/30

➤ x = 21/3

➤ x = 7

∴ 7 hours per day should 3 typist work to finish it in 10 days.

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