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Question

A cargo ship has the job of transporting goods from city A to city B on the downstream and come back upstream. If the velocity of ship in still water is 30 km/hr and velocity of the river stream is 15 km/hr. Find the average speed of the ship in the journey.


Your Answer
A

30 km/hr

Your Answer
B

20 km/hr

Your Answer
C

45 km/hr

Correct Answer
D

22.5 km/hr


Solution

The correct option is C

22.5 km/hr


While going downstream the velocity of ship will be 30 + 15 = 45 km/hr
While going upstream the velocity of ship will be 15 km/hr
Now distance is same between cities. Let's assume that to be d

For downstream, v=45
d=d
t=d45

Upstream,                 v = 45   
                d = d
t=d15
Avg. speed=d+dd45+d15

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