A boat travelling at a speed of $15 k m$ in an hour travel 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 $C f r o m i n i t i a l p o i n t A .$ .

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$9 h o u r s$

$36 h o u r s$

$24 h o u r s$

$6 h o u r s$

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 $2 + 3 + 4 = 9$ hours.
Therefore, the boat will take 9 hours to reach point $C$ .