Advertisements
Advertisements
प्रश्न
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
If car A use 4 litre of petrol more than car B in covering the 400 km, write down and equation in x and solve it to determine the number of litre of petrol used by car B for the journey.
उत्तर
Given Distance = 400 km
Car A travels x km/litre.
Car B travels (x + 5) km/litre.
Car A uses 4 litre more than car B
∴ `(400)/x - (400)/(x + 5)` = 4
400 (x + 5) - 400x = 4x(x + 5)
400x + 2000 - 400x = 4x2 + 20x
4x2 + 20x - 200 = 0
4 (x2 + 5x - 500) = 0
x2 + 25x - 20x - 500 = 0
x (x + 25) - 20 (x + 25) = 0
(x + 25) (x - 20) = 0
∴ x = 20 - 25 ...(inadmissible)
No. of litre of petrol used by car B
= `(400)/(20 + 5)`
= `(800)/(25)`
= 16.
APPEARS IN
संबंधित प्रश्न
The sum of two numbers is 9. The sum of their reciprocals is 1/2. Find the numbers.
Ashu is x years old while his mother Mrs Veena is x2 years old. Five years hence Mrs Veena will be three times old as Ashu. Find their present ages.
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
Find the values of k for which the roots are real and equal in each of the following equation:
\[kx\left( x - 2\sqrt{5} \right) + 10 = 0\]
Find the value of p for which the quadratic equation
\[\left( p + 1 \right) x^2 - 6(p + 1)x + 3(p + 9) = 0, p \neq - 1\] has equal roots. Hence, find the roots of the equation.
Disclaimer: There is a misprinting in the given question. In the question 'q' is printed instead of 9.
Solve the following quadratic equation using formula method only
x2 - 7x - 5 = 0
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
The outward journey
A shopkeeper purchases a certain number of books for Rs. 960. If the cost per book was Rs. 8 less, the number of books that could be purchased for Rs. 960 would be 4 more. Write an equation, taking the original cost of each book to be Rs. x, and Solve it to find the original cost of the books.
Find three consecutive odd integers, the sum of whose squares is 83.
A person was given Rs. 3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs. 20. Find the number of days of his tour programme.
