A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating 1cm every 2 seconds, and the puppy is eating 2cm every 3 seconds. How many seconds will it take for them to eat the entire sausage?

Respuesta :

Answer:

We can do this using trial and error

which can also be illustrated as

1x+2y=14

where 1x represents the total length eaten by the cat and 2y represents the total amount eaten by the dog

(bear in mind they both should eat a certain length such that exactly 14cm is eaten COMPLETELY)

by trial and error we find that 1(8)+2(3)=14 which means that

the cat ate 8cm=8*2/1=16seconds



and the dog ate

6cm=6*3/2=9 seconds

so the total seconds is the sum 16+9=25seconds

The total time taken by them to eat the entire sausage is 11.996 seconds.

What is Ratio and Proportion ?

When a number can be divided by another number , it can be written as p :q and when two ratios are equal they are said to be in proportion.

It is given that the sausage is 14cm

The kitten eats at the rate of 1 cm every 2 seconds

The puppy eats at the rate of 2 cm every 3 seconds

In 1 second kitten eats 0.5 cm

In 1 second puppy eats 0.667 cm

Total eaten in 1 second is 0.5 +0.667 = 1.167 cm

14 cm will be eaten in 14 /1.167 = 11.996 seconds

Therefore the total time taken by them to eat the entire sausage is 11.996 seconds.

To know more about Ratio and Proportion

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