A clock goes fast by one minute during the first
hour, by two minutes at the end of the second
hour, by 4 minutes at the end of 3 hour, by eight
minutes by the end of 4th hour and so on. At the
end of which hour will it be fast by just over
sixty minutes ?
(a) Fifth (b) Sixth
(c) Seventh (d) Eighth
plz explain
Answers
( option c ) seventh hour
hope it helps !!
have a nice day !!
The correct answer is option (c) seventh hour.
GIVEN
Minutes of the clock going fast at the First hour = 1 min
Minutes of the clock going fast at the second hour = 2
Minutes of the clock going fast at the third hour = 4mins
Minutes of the clock going fast at the 4th hour = 8 mins.
TO FIND
At the end of which hour will the clock fast by just over 60 minutes?
SOLUTION
We can simply solve the above problem as follows-
By the data given, we can observe that the clock is going faster 2 times the minutes in the previous hour.
So,
Minutes of the clock going faster at the end of the 5th hour = 2 × 8 = 16 minutes.
Minutes of the clock going faster at the end of the 6th hour = 2×16 = 32 minutes.
Minutes of the clock going faster at the end of the 7th hour = 2×32 = 64 minutes.
Since,
64>60
So,
At the end of the Seventh hour, the clock will be faster by just over 60 minutes.
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