The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below [reproduced as a table below]. The distances covered during four laps of the journey are listed in the table below. From the given data, we can conclude that the fuel consumed per kilometre was least during the lap
Figure (reconstructed): Fuel-consumption-vs-speed curve (reconstructed): an inverted-V-shaped curve peaking near 45 km/h at about 90 km/L, rising from about 30 km/L at 10 km/h and falling to about 75 km/L at 75 km/h, as given in the original question paper; plus the lap distance/speed data table.
Options:
(A) P
(B) Q
(C) R
(D) S
Official Answer Key:
B
Step-by-Step Solution & Explanation
From the fuel-consumption-vs-speed graph, reading off the approximate fuel-economy values (km travelled per litre) at each lap's speed: Lap P (15 km at 15 km/h) ≈ 60 km/L; Lap Q (75 km at 45 km/h) ≈ 90 km/L (the graph's peak economy point); Lap R (40 km at 75 km/h) ≈ 75 km/L; Lap S (10 km at 10 km/h) ≈ 30 km/L. Fuel consumed per km = 1/(km per litre), so the lap with the highest km/L figure has the lowest fuel-per-km. Lap Q has the highest economy (≈90 km/L ⇒ ≈0.0111 L/km, the smallest of the four), so fuel consumed per km was least during lap Q, matching option (B).
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