A boat traveling at a speed of 15km in one hour travels to point A first which is at a distance of 30km, then to point B which is at a distance of 45km, then finally to point C which is at a distance of 60km. Find the time taken by the boat to reach point C.

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A boat traveling at a speed of $15 k m$ in one hour travels to point $A$ first which is at a distance of $30 k m$ , then to point $B$ which is at a distance of $45 k m$ , then finally to point $C$ which is at a distance of $60 k m$ . Find the time taken by the boat to reach point $C$ .

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answer is D.

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Detailed Solution

The correct option is (D),
Given the speed of the boat is $= 15 k m$ in one hour
The distance traveled by boat in one hour is $15 k m$ .
The distance to point $A$ is $30 k m$ , time taken to reach this point will be given by dividing the total distance by the speed at which the boat is traveling i.e.
$= \frac{30}{15} = 2$
Hence the time taken by the boat to reach point $A$ is $2$ hours.
The distance to point $B$ is $45 k m$ , time taken to reach this point will be given by dividing the total distance by the speed at which the boat is traveling i.e.
$= \frac{45}{15} = 3$
Hence the time taken by the boat to reach point $B$ is $3$ hours.
The distance to point $C$ is $60 k m$ , time taken to reach this point will be given by dividing the total distance by the speed at which the boat is traveling i.e.
$= \frac{60}{15} = 4$
Hence the time taken by the boat to reach point $C$ is $4$ hours.
Hence the total time taken by the boat to reach point $C$ is $2 + 3 + 4 = 12$ hours.
Therefore, the boat will take $12$ hours to reach point $C$ .