Coming home late, Piyal switched on the TV for his favourite programme and noted that 1/4 of the programme had been over by the time if he switched on the tv 4 1/2 minutes earlier. He would have missed only 1/7th of the programme. What was the duration of the programme?
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When Piyal coming home late, 1/4 or 25% of programme is over.
When he come 9/2 min earlier, only 1/7 or 14.28% programme is over.
Now,
25% - 14.28% = 9/2
10.71% = 9/2
1% = 9/(2 * 10.71)
100% = (9 * 100)/(2 * 10.71) = 42 min.
Duration of the program = 42 min.