Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

A man can row a boat in still water at a speed of 4.5 km/hr. In a river flowing at the rate of 1.5 km /hr, he starts his journey from a point downstream and comes back to the same point. Then the average speed of the total journey is :

Options:

4 km/hr

6 km/hr

2 km/hr

8 km/hr

Correct Answer:

4 km/hr

Explanation:

The correct answer is Option (1) → 4 km/hr

$\text{Average speed}=\frac{\text{2×Speed in still water×Speed against current}}{\text{Speed in still water + Speed against current}}$

$V_{down}=4.5+1.5=6km/hr$

$V_{up}=4.5-1.5=3km/hr$

$\text{Average speed}=\frac{2×V_{down}×V_{up}}{V_{down}+V_{up}}$

$=\frac{2×6×3}{6+3}=\frac{2×6×3}{9}$

$=4 km/hr$