Allied & ICAR Exam Bank • ALLIED_2473 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A boat travels 48 km downstream and 32 km upstream in 8 hours. It also travels 36 km downstream and 48 km upstream in 9 hours. The speed of the river current in km/h is:

Answer Key:

2

Step-by-Step Solution & Explanation

Let $1/v_d = x, 1/v_u = y$. $48x + 32y = 8 \implies 6x + 4y = 1$. $36x + 48y = 9 \implies 4x + 16y/3 = 1$. Solving gives $v_d = 12$ km/h and $v_u = 8$ km/h. River current = $(12 - 8)/2 = 2$ km/h.
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