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 consumption 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
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 consumption 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 Correct Answer P
Explanation:
On rearranging the given data in tabular form, we get,
|
Stretch |
Cumulative distance (km) |
Distance covered in given stretch A (km) |
Electricity used since beginning (kWh) |
Electricity used in given stretch B (kWh) |
Electricity consumption per km (B/A) kWh/km |
|
M |
20 |
20 |
12 |
12 |
12/20 = 0.6 |
|
N |
45 |
45 – 20 = 25 |
25 |
25 – 12 = 13 |
13/25 = 0.52 |
|
O |
75 |
75 – 45 = 30 |
45 |
45 – 25 = 20 |
20/30 = 0.66 |
|
P |
100 |
100 – 75 = 25 |
57 |
57 – 45 = 12 |
12/25 = 0.48 |
Clearly, the electricity consumption per km is minimum in stretch P.