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Four cars are hired at the rate of Rs. 6 per km plus the cost of diesel at Rs. 40 a litre. In this context, consider the details given in the following table
Car Mileage (km/l) Hours Total Payment (Rs)
A 8 20 2120
B 10 25 1950
C 9 24 2064
D 11 22 1812
Which car maintained the maximum average speed?
Car A
Car B
Car C
Car D
Let’s break down the problem:
- Total Payment = Rs. 6 per km × Distance + Cost of Diesel (Rs. 40/litre × litres used)
- For each car, let the distance travelled be D.
- Diesel used = D ÷ Mileage.
- Payment equation: Total = 6D + 40 × (D / Mileage)
- Rearranged: Total = D*[6 + (40 / Mileage)] ? D = Total / [6 + (40 / Mileage)]
- Speed = Distance / Hours
Calculate for each car:
Car A:
- Cost per km: 6 + (40/8) = 11
- D = 2120 / 11 = 192.73 km
- Speed = 192.73/20 = 9.64 kmph
Car B:
- Cost per km: 6 + (40/10) = 10
- D = 1950/10 = 195 km
- Speed = 195/25 = 7.8 kmph
Car C:
- Cost per km: 6 + (40/9) ˜ 10.44
- D = 2064/10.44 ˜ 197.7 km
- Speed ˜ 197.7/24 ˜ 8.24 kmph
Car D:
- Cost per km: 6 + (40/11) ˜ 9.64
- D = 1812/9.64 ˜ 188 km
- Speed ˜ 188/22 ˜ 8.55 kmph
Car A has the highest average speed of 9.64 kmph.
Option:1, Car A is correct.
By: Sandeep Dubey ProfileResourcesReport error
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