Q.10 The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below. Fuel Consumption: kilometres per litre Speed: kilometres per hour The distances covered during four laps of the journey are listed in the table below: Lap Distance (kilometres) Average speed (kilometres per hour) P 15 15 Q 75 45 R 40 75 S 10 10 From the given data, we can conclude that the fuel consumed per kilometre was least during the lap Options: (A) P (B) Q (C) R (D) S

Q.10

The fuel consumed by a motorcycle during a journey while traveling at various speeds
is indicated in the graph below.

Fuel Consumption: kilometres per litre
Speed: kilometres per hour

The distances covered during four laps of the journey are listed in the table below:

Lap Distance (kilometres) Average speed (kilometres per hour)
P 15 15
Q 75 45
R 40 75
S 10 10

From the given data, we can conclude that the fuel consumed per kilometre
was least during the lap

Options:

(A) P

(B) Q

(C) R

(D) S

Fuel Consumption per Kilometre – Graph Based Question

This question is based on a speed vs fuel efficiency graph.
Fuel efficiency is given in kilometres per litre (km/l).
The aim is to identify the lap where the fuel consumed per kilometre
is the least.

Important Concept

Fuel consumption per kilometre is inversely proportional
to fuel efficiency.

Higher km/l ⇒ Less fuel consumed per km

Reading the Graph

  • At 10 km/h → ≈ 30 km/l
  • At 15 km/h → ≈ 60 km/l
  • At 45 km/h → ≈ 90 km/l
  • At 75 km/h → ≈ 75 km/l

Lap-wise Analysis

Lap P

Speed = 15 km/h

Fuel efficiency ≈ 60 km/l

❌ Not the least fuel consumption

Lap Q

Speed = 45 km/h

Fuel efficiency ≈ 90 km/l (maximum)

✅ Least fuel consumed per kilometre

Lap R

Speed = 75 km/h

Fuel efficiency ≈ 75 km/l

❌ Less efficient than Q

Lap S

Speed = 10 km/h

Fuel efficiency ≈ 30 km/l

❌ Highest fuel consumption per km

Correct Answer

Option (B) – Q

Explanation of Options

Option (A): Moderate fuel efficiency.

Option (B): Highest km/l, hence least fuel per km.

Option (C): Efficiency decreases at higher speed.

Option (D): Lowest fuel efficiency.

Conclusion

The lap with the highest fuel efficiency will consume
the least fuel per kilometre.

Therefore, the correct answer is Lap Q.

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