Question

If 100 cats catch 100 mice in 100 minutes, then how long will it take for 7 cats to catch 7 mice

Answer 1

Given : 100 cats catch 100 mice in 100 minutes.

To find : how long will it take for 7 cats to catch 7 mice ?

solution : using formula, M₁T₁/W₁ = M₂T₂/W₂

where M represents number of cats.

W represents number of mice.

and T represents time taken to catch the mice by cats.

here, M₁ = 100 , T₁ = 100 minutes, W₁ = 100

M₂ = 7, W₂ = 7

so, 100 × 100/100 = 7 × T₂/7

⇒T₂ = 100 minutes

Therefore 7 cats catch 7 mice in 100 minutes.

Answer 2

Given : If 100 cats catch 100 mice in 100 minutes ,then how long it will take for 7 cats to catch 7 mice

To Find : How long it will take for 7 cats to catch 7 mice

Solution : Cats. Mice. Time

100. 100. 100

7. 7. x

Let the time be x

x=100/7×7/100×100

x= 100

There fore it takes 7 cats to catch 7 mice in 100 minutes

Here first we should compare Cats and time and Mice and Time.When we compare Cats and time they are in inverse proportion when we compare mice and time they are in direct proportion

Additional Solution : We should use formulae

M1×T1/W1=M1×T1/W1

100×100/100=7×T2/7

Here T2= 100