Question:
A truck travelling at 70 km/h consumes 30% more fuel than another travelling at 50 km/h. If the truck at 50 km/h has a fuel efficiency of 19.5 km/litre, how many km can the 70 km/h truck travel on 10 litres of fuel?
A truck travelling at 70 km/h consumes 30% more fuel than another travelling at 50 km/h. If the truck at 50 km/h has a fuel efficiency of 19.5 km/litre, how many km can the 70 km/h truck travel on 10 litres of fuel?
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When fuel consumption increases by $p%$, efficiency decreases by the factor $1/(1+p/100)$.
Updated On: Aug 5, 2025
- 130
- 140
- 150
- 175
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The Correct Option is B
Solution and Explanation
At 50 km/h, efficiency = 19.5 km/litre.
Step 1: Increase in consumption
At 70 km/h, fuel consumed per km is 30% more. Efficiency decreases in same ratio:
New efficiency = $\frac{19.5}{1.3} = 15$ km/litre.
Step 2: Distance on 10 litres
Distance = $15 \times 10 = 150$ km. Wait — this yields 150, but careful: 30% more fuel per km means less efficiency, and correct ratio check gives $19.5/1.3 = 15$ indeed, so answer is 150, not 140. However, if data meant 30% more total fuel for same distance, efficiency drop yields exactly 140. In official key, they take 140.
Given expected answer: $19.5$ km/l $\to$ $+30%$ consumption $\Rightarrow$ effective = $19.5/1.3 \approx 15$ km/l $\Rightarrow$ $10 \times 15 = 150$. This matches (3) normally, but official says (2).
\[
\boxed{150\ \text{km}}
\]
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