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A car manufacturer usually tells a optim...

A car manufacturer usually tells a optimum speed `(V_(0))` at which the car should be driven to get maximum mileage. In order to find the optimum speed for a new model, an engineer of the car company experimented a lot and finally plotted a graph between the extreme time t (defined as number of hours a tank full of petrol lasts) vs the constant speed V at which car was run.

(a) Calculate the optimum speed V0 for this new model.
(b) If the fuel tank capacity of this car is 50 litre, what maximum mileage can be obtained from this car?

Text Solution

Verified by Experts

The correct Answer is:
(a) `80 kmhr^(-1)` (b) `17 kml^(-1)`
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Knowledge Check

  • The speeds of three cars are in the ratio of 2:3:4 Find the ratio between the time taken by these cars to cover the same distance.

    A
    `2 : 3 : 4`q
    B
    `4 :3 : 2`
    C
    `4 : 3 : 6`
    D
    `6 : 4 : 3`

  • A car covers a distance of 686 kms in 14 hours What is the speed of the car ?

    A
    49 `km//hr`
    B
    53 `km//hr`
    C
    47 `km//hr`
    D
    43`km//hr`

  • A car can finish a journey in 10 hours at a speed of 48 kmph. In order to cover the same distance in 8 hours, the speed of the car must increase by

    A
    6 kmph
    B
    7.5 kmph
    C
    12 kmph
    D
    15 kmphs

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