MEDIUM
10th ICSE
IMPORTANT
Earn 100

An aeroplane flying with a wind of 30 km/h takes 40 minutes less to fly 3600 km, than what it would have taken to fly against the same wind. Find the plane's speed of flying in still air.

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Important Questions on Quadratic Equations in One Variable

MEDIUM
10th ICSE
IMPORTANT
A school bus transported an excursion party to a picnic spot 150 km away. While returning, it was raining and the bus had to reduce its speed by 5 km/h, and it took one hour longer to make the return trip. Find the time taken to return in hours.
MEDIUM
10th ICSE
IMPORTANT
A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/h, find the speed of the boat in still water.
MEDIUM
10th ICSE
IMPORTANT
Two pipes running together can fill a tank in 1119 minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would fill the tank.
MEDIUM
10th ICSE
IMPORTANT
480 is divided equally among 'x' children. If the number of children were 20 more, then each would have got12 less. Find 'x'.
MEDIUM
10th ICSE
IMPORTANT
7500 were divided equally among a certain number of children. Had there been 20 less children, each would have received 100 more. Find the original number of children.
MEDIUM
10th ICSE
IMPORTANT
2x articles cost 5x+54 and x+2 similar articles cost 10x-4; find x.
EASY
10th ICSE
IMPORTANT
A trader buys x articles for a total cost of 600. Write down the cost of one article in terms of x. If the cost per article were5 more, the number of articles that can be bought for 600 would be four less.
HARD
10th ICSE
IMPORTANT
A shopkeeper purchases a certain number of books for 960. If the cost per book was 8 less the number of books that could be purchased for 960, would be 4 more. Write an equation, taking the original cost of each book to be x and solve it to find the original cost of the books.