A ship can cover a certain distance in 10 hours at a speed of 16 nautical miles per hour. By how much should its speed be increased so that it takes only 8 hours to cover the same distance? (A nautical mile in a unit of measurement used at sea distance or sea water i.e., 1852 metres)

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7

nautical miles per hour

2

nautical miles per hour

4

nautical miles per hour

5

nautical miles per hour

answer is C.

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Detailed Solution

Concept- In order to solve the above given question in which we have to find the speed increased so that it takes only 8 hours to cover the same distance.
Formula used

= Distance = speed \times time

Here,

the formula we use is speed = time \times distance

Distance = speed \times time

Then,it is given that the distance traveled is the same.
That is,

D 1 = D 2

Then,
S1

= 16 nautical miles per hour .

= 10 hours,

t2=8 hours, S2=?
We have to find,
S1

\times

=

\times

16 \times 10 = 8 \times

160 = 8 \times

S2
S2

= \frac{160}{8}

= 20

So,
S2

= 20

nautical miles per hour
Here,
Ship has increased its speed from 16 to 20 nautical miles per hour.
So, It increase its speed by 4 nautical miles per hour.
Hence, the correct answer is 3.

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