Question

Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.

Quantity I: 3 kmph

Quantity II: A boat sails in still water at 8.5 km/h, but takes thrice as long to sail upstream than downstream. Find the speed of the stream.
1. Quantity I ˃ Quantity II
2. Quantity I ˂ Quantity II
3. Quantity I ≥ Quantity II
4. Quantity II ≥ Quantity I
5. Quantity II = Quantity I

Answer 1

Correct Answer - Option 2 : Quantity I ˂ Quantity II

Quantity I: 3 kmph

Quantity II:

Speed of boat = 8.5 km/h

Let the speed of the stream be x km/h

⇒ Downstream speed = (8.5 + x)

⇒ Upstream speed = (8.5 – x)

According to the question,

(8.5 + x) = 3 × (8.5 – x)

⇒ 8.5 + x = 25.5 – 3x

⇒ 8.5 – 25.5 = -3x – x

⇒ 17 = 4x

⇒ x = 4.25

Speed of stream = 4.25 kmph

∴ Quantity I ˂ Quantity II