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Question

A school has 8 periods in a day and each of 30 minutes duration. If the number of periods reduces to 6 periods a day , then find the duration of each period. (Assume the school hours remains the same)

A
30 mins
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B
35 mins
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C
40 mins
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D
50 mins
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Solution

The correct option is C 40 minsGiven, 8 periods are of 30 mins each. Less the number of periods, the duration will be more. Number of periods ∝1Duration of each period ∴x1x2=y2y1 where, x1 = 8 y1 = 30 mins x2 = 6 and y2 is duration of each period if there are 6 periods Hence, x1×y1=x2×y2 ⇒8×30=6×y2 ⇒ y2 = 30 × 86 = 40 mins 40 minutes will be the duration of each period if number of periods is reduced to 6.

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