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car A can cover a distance of X Km in 1 litre petrol & car B can cover a distance of (X+5)Km in 1 Litre petrol.if car A consumes 4 Litres Of petrol more in a journey of 400 kms than car B. find the petrol consume by car B.

car A can cover a distance of X Km in 1 litre petrol & car B can cover a distance of (X+5)Km in 1 Litre petrol.if car A consumes 4 Litres Of petrol more in a journey of 400 kms than car B. find the petrol consume by car B.

Grade:12

2 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

Petrol is consumed on the basis of distance covered. First find the distance covered by both the cars.

Use distance= speed*time

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

Sudheesh Singanamalla
114 Points
10 years ago

distance travelled by car A = distance travelled by car B = 400Km

petrol required to travel X km = 1L for car A

pertrol required to travel X+5 km = 1L for car b

1L = X+5 km

1km = 1/ X+5

petrol required for B to travel 400km = 400/X+5

petrol required for A to travel 400km = 400/X

given that

400/X - 4 = 400/X+5

(400-4X)/X = 400/ X+5

(400-4X)(X+5) = 400 X -----------------------BY CROSS MULTIPLICATION

now solve the equation, you will get two answers .

the negative answer is omitted and the positive answer is taken as the petrol consumed by car A

add 4 to it and you will get the petrol consumed by car B

 

 

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