Question

6. The vehicle of Mr. Ghosh needs 30% more fuel at the speed of 75 kmph than it needs at the speed of 50 kmph. At a speed of 50 kmph, Mr. Ghosh can go to a distance of 195 kms. At the speed of 75 kmph, what distance he will travel?

Answer 1

Given :

The Speed of vehicle = 75 kmph

The Speed of vehicle = 50 kmph

The fuel at 75 kmph is 30% mote than that of 50 kmph

Total distance cover at speed 50 kmph = d = 195 kms

To Find :

The distance cover at speed 75 kmph

Solution :

∵ Distance = Speed ×Time

Let The distance cover at speed 75 kmph = D kms

Let The quantity of fuel at 50 kmph = x liters

So, The quantity of fuel at 75 kmph = x + 30% of x

                                                          = 1.3 x liters

More fuel consumption at high speed means less time taken

So,

At Speed of 75 kmph

  D km = 75 kmph × 1.3 x

Or, D = 97.5 x                             ..........1

Again

At Speed of 50 kmph

  d km = 50 kmph ×  x

Or, 195 = 50 x                            

i.e   x = $\dfrac{195}{50}$ = 3.9

∴ The quantity of fuel at 50 kmph = x = 3.9 liters

And

The quantity of fuel at 75 kmph = 1.3 × x =  1.3 × 3.9 = 5.07 liters

Again

Put The value of x into eq 1 , we get

Distance D = 97.5 x    

                   = 97.5 × 3.9

                   = 380.25 km

Hence, The distance cover at speed 75 kmph is 380.28 km   Answer