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On Saturday, 8 children made a sandcastle in 5 hours. On Sunday, two more children joined the group. How long it will take the children to build a new sandcastle on Sunday?

Respuesta :

Answer:

Only 4 hours

Step-by-step explanation:

8 children made a sandcastle in 5 hours. 8:5 ratio

10 children made a sandcastle in ? 10:? ratio is it?

Remember, It's inversely proportional, which means, more people, less time to take it to make the sand castle. So we would do, 8*? = 10 that would be 1.25. 8*1.25=10. then, do 5/1.25, cause it's "inversely proportional. I'm not sure if this is right, but I think it is 4 hours.

fichoh

The 10 children will spend 4 hours on Sunday making the sandcastle.

Number of people = 1/ time taken

  • 8 = k / 5 hours ; where k = constant of proportionality
  • Solve for k :
  • 8 × 5 = k
  • k = 40

On Sunday :

Number of people = 2 + 8 = 10

Number of people = 1/ time taken

10 = k / t

Put k = 40 and solve for t

10 = 40 / t

10t = 40

t = 40/10

t = 4

Therefore, it will take the 10 children 4 hours on Sunday to make the sandcastle.

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