Step-by-step explanation:

while car B travel (x + 5) km for every litre of petrol if car A used 4 litre of petrol more than car B is covering 400 km. Find the number of litre petrol used

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Verified answer

Given that :

• Car A travels x km per litre.
• Car B travel (x + 5) km for every litre of petrol.
• Car A used 4 litre of petrol more than car B,

To Find :

• Petrol used by car B.

Solution :

From the above given conditions,

• Number of litres of petrol used by car A = (400/x).

And since Car B travels (x + 5) km per litre,

• Number of litres of petrol used by car B = (400/x + 5).

And,

Car A uses 4 litre of petrol more than car B.

So, we could write it mathematically as,

→ (400/x) - (400/x + 5) = 4

→ 400(x + 5) - 400x = 4(x)(x+5) [Cross multiplying]

→ 400x + 2000 - 400x = 4x² + 20x

→ 4x² + 20x - 2000 = 0 [Quadratic Equation]

→ 4(x² + 5x - 500) = 0

→ x² + 5x - 500

→ x² + 25x - 20x - 500 = 0

→ x(x + 25) - 20(x + 25) = 0

→ (x - 20)(x + 25) = 0

→ x  = 20, & -25 [∴ Neglecting the negative value]

→ x = 20.

∴ Number of litres of petrol used by car B:

→ (400/x + 5)

→ (400/25)

→ 16 litres.