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Question

Working at the same constant rate, 7 identical machines can produce a total of 490 toys per minute.At this rate, how many toys could 10 such machines produce in 5 minutes?


A

2700

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B

3500

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C

4200

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D

4500

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Solution

The correct option is B

3500


Let the required number of toys produced by 7 machines in 5 minutes be n.

As the time increases, the number of toys increases. Hence they are in direct proportion.

n = 490 x 5= 2450

So, 7 machines can make 2,450 toys in 5 minutes.

As the number of machines increases, number of toys increases. They are in direct proportion.

Let k is the number of toys produced by 10 machines in 5 minutes.

Then, k = 2450×107

k = 3500

So, the number of toys produced = 3,500


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