Question
A car travels from P to Q at a constant speed . If its speed were increased by 10 km/hr it would have taken one hour lesser o cover the distance . It would have taken further 45 minutes lesser if the speed was further increased by 10 km/hr. What is the distance between the two cities. ?
Answer: Option A
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Let distance = `x` km and usual rate = y kmph. Then
`x/y - (x)/(y + 10) = 1 or y(y + 10) = 10 x` .........................................(I)
And , `x/y - (x)/(y + 20) = 7/4 or y(y + 20) = (80x)/(7) ` ..............................(II)
On dividing (I) by (II) , we get y = 60.
Substituting y = 60 in (I) , we get `x` = 420 km.
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