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A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
  • a)
    1400
  • b)
    700
  • c)
    600
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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To find out how many bottles the machine will fill in five hours, we can use the concept of proportions.

Let's set up a proportion to solve the problem:

Number of bottles filled in 6 hours / Number of hours = Number of bottles filled in 5 hours / 5

We know that the machine fills 840 bottles in six hours, so we can substitute these values into the proportion:

840 / 6 = Number of bottles filled in 5 hours / 5

Now, we can cross-multiply and solve for the unknown value:

840 * 5 = 6 * (Number of bottles filled in 5 hours)

4200 = 6 * (Number of bottles filled in 5 hours)

Dividing both sides of the equation by 6:

4200 / 6 = Number of bottles filled in 5 hours

700 = Number of bottles filled in 5 hours

Therefore, the machine will fill 700 bottles in five hours.

Hence, option B is the correct answer.
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