An electric bus has onboard instruments that report the total electricity consumed since the start of the trip, as well as the total distance covered. During a single day of operation, the bus travels on stretches M, N, O, and P, in that order. The cumulative distances travelled and the corresponding electricity used (kWh) are shown in the table below. Stretch | Cumulative distance (km) | Electricity used (kWh) M | 20 | 12 N | 45 | 25 O | 75 | 45 P | 100 | 57 The stretch where the electricity consumption per km is minimum is: A. M B. N C. O D. P
GATE 2015 · General Aptitude · Tabular Data · medium
Answer: Stretch P has the minimum electricity consumption per km at 0.48 kWh/km.
- Convert cumulative data to per-stretch data: M: dist = 20-0 = 20 km, elec = 12-0 = 12 kWh N: dist = 45-20 = 25 km, elec = 25-12 = 13 kWh O: dist = 75-45 = 30 km, elec = 45-25 = 20 kWh P: dist = 100-75 = 25 km, elec = 57-45 = 12 kWh
- Compute electricity per km for each stretch: M: 12/20 = 0.60 kWh/km N: 13/25 = 0.52 kWh/km O: 20/30 = 0.67 kWh/km P: 12/25 = 0.48 kWh/km
- Identify the minimum: Stretch P (0.48 kWh/km) is the minimum. Ranking: P < N < M < O.