Boats and Streams

Quantitative Aptitude ( Phase -I)

Title

45:30

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Indian Economy - Understanding the basics of Indian economic system

Speed of boat downstream is 50% more than upstream.

Total time to travel 48 km up and 36 km down is 6 hours.

What is the speed of boat downstream?

This questions was previously asked in

SEBI Grade A (Ph 1 Paper 1 2022)

- Let's denote the speed of the boat upstream as \( x \) km/h.

- Then, the speed of the boat downstream is \( 1.5x \) km/h, since it is 50% more than upstream.

- The time taken to travel upstream is given by \( \frac{48}{x} \).

- The time taken to travel downstream is \( \frac{36}{1.5x} \).

- According to the problem, the total time for the journey is 6 hours.

- Thus, \( \frac{48}{x} + \frac{36}{1.5x} = 6 \).

- Solving this equation, we find \( x = 12 \) km/h, so the downstream speed is \( 1.5 \times 12 = 18 \) km/h.

- Option 1: 16

- Option 2: 21

- Option 3: 18

- Option 4: 15

- Option 5: 12

- ? The correct answer is Option 3: 18