1.

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Liva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/h while Ria’s car travels 5 km/h more than Nidhi’s car. Nidhi’s car took 4 hrs more than Ria’s car in covering 400 km. Which of the following quadratic equation describe the speed of Nidhi’s car?

Answer»

`x^(2) -5x -500=0`
`x^(2) +4x -400=0`
`x^(2) +5x -500=0`
`x^(2) -4x +400=0`

Solution :As per question,
`(400)/(x) =(400)/(x+4)+4`
`400(x+5) =400x +4x(x+5)`
`2000 =4x^(2) +20x`
`500=x^(2) +5x`
`x^(2) +5x-500=0`
Thus (c) is CORRECT OPTION.


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