Quantitative Aptitude Ques 1926
Question: If 12 engines consume 30 metric tonne of coal when each running 18 per day, how much coal will be required for 16 engines, each running 24 h per day, it being given that 6 engines of former type consume as much as 8 engines of latter type?
Options:
A) 10 tonne
B) 5 tonne
C) 25 tonne
D) 40 tonne
Show Answer
Answer:
Correct Answer: D
Solution:
- Let the required quantity of coal consumed be x. More engines, more coal consumption [direct proportion] More hours, more coal consumption [direct proportion] Less rate of consumption, less coal consumption [direct proportion] $ . \begin{aligned} & Engines12:16 \\ & Workinghours18:24 \\ & Rateof \\ & consumption\frac{1}{6}:\frac{1}{8} \\ \end{aligned} }::30:x $
$ \therefore $ $ 12\times 18\times \frac{1}{6}\times x=16\times 24\times \frac{1}{8}\times 30 $
$ \Rightarrow $ $ 36x=1440 $
$ \therefore $ $ x=\frac{1440}{36}=40 $ Hence, quantity of coal consumed will be 40 tone.
BETA
