A vagabond runs out of cigarettes. He searches for the stubs, having learnt that 7 stubs can make a new cigarette, he gathers 49 stubs, if he smokes 1 cigarette every three fourths of an hour, how long will his supply last?
A. 5.25 hours
B. 6 hours
C. 4.5 hours
D. 3 hours
Answer: Option B
Solution (By Examveda Team)
The idea is that a stub is equal to 1/7 of a cigarette and that only 6/7 of the cigarette is actually smoked.So he can start by making 7 cigarettes from the 49 stubs.
After smoking those, he will have 7 more stubs left over to make another cigarette. And when that is done he will have one stub remaining.
8 * 3/4 = 6 hours
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Yes @rehan Kabir you are right
The actual answer is A)5.25 hrs
By-National mathematics board of Singapore
Answer should be A. Since he has 7 cigs. He smokes the first and then smokes the remaining 6 cigs in 45*6 minutes = 4.5 hr. Then he smokes the final cig after collecting the stubs he just smoked after another 45 minutes . Thus 5.25 hr.