MEDIUM
10th ICSE
IMPORTANT
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The distance by road between two towns A and B, is 216 km, and by rail it is 208 km. A car travels at a speed of x km/h, and the train travels at a speed which is 16 km/h faster than the car. Calculate: If the train takes 2 hours less than the car, to reach town B, obtain an equation in x, and solve it.

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Important Questions on Quadratic Equations in One Variable

HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 29
The distance by road between two towns A and B, is 216 km, and by rail it is 208 km. A car travels at a speed of x km/h, and the train travels at a speed which is 16 km/h faster than the car. Calculate: Hence, find the speed of the train.
MEDIUM
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 30
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.
MEDIUM
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 31
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
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 32
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
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 33
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
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 34
₹480 is divided equally among 'x' children. If the number of children were 20 more, then each would have got₹12 less. Find 'x'.
MEDIUM
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 34
₹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
Understanding ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>Exercise 5.5>Q 35
2x articles cost ₹5x+54 and x+2 similar articles cost ₹10x-4; find x.