What is the volume of concrete mix produced, if a batch type concrete mixer of 1500 litres capacity takes an effective time of 15 seconds for one batch of production?
- A36 m³ /hr
- B180 m³ /hr
- C360 m³ /hrCorrect
- D720 m³ /hr
Solution
Concept
Concrete Mixer Production Rate
Formula
Production Rate = (Batch Capacity × 3600) / Batch Time
Step-by-step solution
1. Convert batch capacity to cubic meters: 1500 L = 1.5 m³ 2. Calculate total batches per hour: 3600 sec / 15 sec = 240 batches 3. Multiply total batches by batch capacity: 240 × 1.5 m³ = 360 m³/hr
Explanation
The mixer produces 1500 litres (1.5 m³) of concrete every 15 seconds. Since there are 3600 seconds in an hour, it produces 240 batches per hour (3600 ÷ 15). Multiplying 240 batches by 1.5 m³ per batch gives a total production volume of 360 m³/hr.
Shortcut
Multiply (Capacity in Litres ÷ Batch Time in seconds) by 3.6 to directly get m³/hr: (1500 ÷ 15) × 3.6 = 360 m³/hr.
Common mistake
A common mistake is failing to convert liters to cubic meters (using 1500 instead of 1.5 m³) or mistakenly calculating seconds per hour as 60 instead of 3600, leading to incorrect unit conversions and selecting 36 m³/hr (Option A).
Correct answer: C) 360 m³ /hr