For a particular car, assume that in the range of 50-90 km per hour, the fuel consumption will be directly proportional to the speed of the car. The car car consumes 6.00 litres of
fuel per hour. When travelling at 75 km per hour. On Sunday, the car makes a round trip from one city to
another and back. The car travelled at 60km per hour during the onward trip and 90 km per hour during the return trip. If the total fuel consumed in the round trip was 20 litres. What is the distance between the two cities. Answer should be correct to 2 decimals.
Answers
Given : in the range of 50-90 kilometre per hour the fuel consumption will be directly proportional to the speed of the car.
car consumes 6 litre of fuel per hour when travelling at 75 kilometre per hour
To Find : The car travelled at 60km per hour during the onward trip and 90 km per hour during the return trip. If the total fuel consumed in the round trip was 20 litres.
Solution:
in the range of 50-90 kilometre per hour the fuel consumption will be directly proportional to the speed of the car
f ∝ s
=> f = ks
car consumes 6 litre of fuel per hour when travelling at 75 kilometre per hour.
=> 6 = k (75)
=> k = 6/75 = 2/25
=> f = 2s/25
Distance = D
time = D/60 and D/90
fuel consumed = (2 * 60 /25 )(D/60) + (2 * 90 /25 )(D/90)
= 2D/25 + 2D/25
= 4D/25
4D/25 = 20
=> D = 125 km
distance between the two cities = 125 km
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