MEDIUM
10th CBSE
IMPORTANT
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A plane left 30 minutes later than the scheduled time and in order to reach its destination 1500 km away in time, it has to increase its speed by 250 km/hr from its usual speed. Find its usual speed in km/hr.

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Important Questions on Quadratic Equations

HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 25
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.
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 26
To cover 14 km distance, Anubhav cycles at a certain average speed. If he reduces his average speed by 1 km/hr, he takes 20 minutes more to cover the same distance. Find the original speed.
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 27
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.
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 28
Two trains leave a railway station at the same time. The first train travels due West and the second due North. The first train travels 5 km/hr faster than the second. If after two hours they are 50 km apart, find the average speed of each.
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 29
Two pipes running together can fill a cistern in 2811 minutes. If one pipe takes 1 minute more than the other to fill the cistern, find the time in which each pipe would fill the cistern.
HARD
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 30
Two pipes running together can fill a cistern in 3113 minutes. If one pipe takes 3 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 31
A takes 16 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 6 days and the time is taken by B to finish the work is k days, then find the value of k.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 4 - Quadratic Equations>EXERCISE>Q 32
A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days and the time is taken by B to finish the work  is k days, then find the value of k.