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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 mins
Given, 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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