In a school, total school hours are divided as follows: 20 minutes for morning prayer, 20 minutes for recess and 8 periods each of 40 minutes duration. If the prayer time and recess time are increased to 40 minutes each, how long would each period be, assuming the number of school hours to be the same?

Dear student,


Total duration of school=Duration of morning prayer+Duration of recess+Duration of 8 periods=20min+20min+8×40min=40min+320min=360 minWhen the the morning and recess time is increased to 40 min each and Total duration of school remians the samethen,Total duration of school=Duration of morning prayer+Duration of recess+Duration of 8 periods360 min=20+40min+20+40min+8×x min                       ...[where x be the duration of each period]360 min=60 min+60 min+8x min360 min-120min=8x min240 min=8x minx=2408x=30 minthus the duration of each period when morning and recess time is increased is 30 min

Regards

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35 min for per period
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