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Quadratic Equations

Short Answer Type

221. If I had walked 1 km per hour faster. I would have taken 10 minutes less to walk 2 km. Find the rate of my walking.

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222. The distance between two places is 900 km. An ordinary express train takes 5 hours more than a superfast express train to cover this distance. If the speed of the superfast express train is 15 km/ hr more than that of the ordinary express train, find the speeds of the two trains.

Solution not provided.
Ans. 45 km/hr, 60 km/hr

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223. A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.

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224. A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

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225. If the speed of a boat in still water is 11 km/hour. It can go 12 km upstream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream.

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226. Ram can row a boat 8 km downstream and return in 1 hour 40 minutes. If the speed of the stream is 2 km/hr, find the speed of the boat in still water.

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227. A motor boat whose speed is 18 km/hr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

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Long Answer Type

228. A motorboat whose speed in still water is 15 km/hr, goes 30 km downstream and returns back to the starting point in a total time of 4 hours and 30 minutes. Find the speed of the stream.

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229. The speed of a boat in still water is 15 km/hr. It can go 45 km upstream and return down-stream to the original point in 6 hours and 45 minutes. Find the speed of the stream.

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Short Answer Type

230. The product of Sunita’s age (in yrs.) two years ago and her age four years from now is one more than twice her present age. What is her present age.

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