TIP on cracking Aptitude Questions on Boats and Streams

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Tip: Understand that the water current can help (when downstream) or hinder (when upstream) the boat

If Sb, Sc, Su and Sd be the speeds of the boat in still water, speed of the current in the stream, speed of the boat while running upstream and speed of the boat while running downstream respectively, then

Sb + Sc = Sd              and               Sb – Sc = Su

Question: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

Solution:

Let the distance travelled be ‘d’ meters

Sb – Sc = d/ 528 meters/ min [When travelling upstream]

Sb + Sc = d/240 meters/ min [When travelling downstream]

Solving the equations above, we get

Sb: Ss = 8: 3

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