Allied & ICAR Exam Bank • ALLIED_1837 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A boat travels 30 km downstream and 18 km upstream in a total time of 5.5 hours. If the speed of the river current is 3 km/h, the speed of the boat in still water is:

Options:

  • (A) 9 km/h
  • (B) 12 km/h
  • (C) 10 km/h
  • (D) 8 km/h

Answer Key:

A

Step-by-Step Solution & Explanation

With still water speed $v = 9$ km/h and current 3 km/h: Downstream time = $30 / (9+3) = 2.5$ hrs. Upstream time = $18 / (9-3) = 3$ hrs. Total time = $2.5 + 3 = 5.5$ hrs.
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