The time required for the bottle to reach the end of Nile is 963 hours
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of the bottle in the river be S = 7 km/h
Let the distance traveled by the bottle in the river be D = 6741 km
Now , the time taken by the bottle to reach the distance D with speed S is calculated by the equation
Speed = Distance / Time
and ,
Time = Distance / Speed
Substituting the values of distance and speed in the equation , we get
Time taken by the bottle = 6741 / 7
= 963 hours
Therefore , the time required is 963 hours
Hence , The time required for the bottle to reach the end of Nile is 963 hours
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The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.
The explicit formula for the terms of an arithmetic sequence is
an = a1 + d(n-1)
where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is
B. a(n) = 7+(n-1)·12
The correct answer is 1/3
