All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 34

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A train covers a distance of $600$ km at $x$ km/h. Had the speed been $(x + 20)$ km/h, the time taken to cover the distance would have been reduced by $5$ h. Write down an equation in $x$ and solve it to evaluate $x .$

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Important Questions on Quadratic Equations in One Variable

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IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 35

The speed of a boat in still water is

15

km/h. It can go

30

km upstream and return downstream to the original point in

4

h

30

min. If the speed of the stream is

m

km / h

, then

m =

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All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 36

A positive number is divided into two parts, such that the sum of the squares of the two parts is

208

. The square of the larger part is

18

times the smaller part. Taking

x

as the smaller part of the two parts, find the number.

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All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 37

Three consecutive natural numbers are such that the square of the middle number exceeds the difference of the squares of the other two by

60

. Assume the middle number to be

x

and form a quadratic equation satisfying the above statement. Hence, find the three numbers.

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All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 38

A

takes

6

days less than the time taken by

B

to finish a work. If both can finish the work in

4

days, then find the time taken by

B

to finish the work.

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All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 39

Two pipes running together can fill a tank in

11 \frac{1}{9}

minutes. If one pipe takes

5

minutes more than the other to fill the tank separately, then find the time in which each pipe would fill the tank separately.

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10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 40

Two pipes running together can fill a cistern in

2 \frac{8}{11}

min. If one pipe takes

1

min more than the other to fill the cistern, then find the time in which each pipe would fill the cistern.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 41

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.

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All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHAPTER EXERCISE>Q 42

The speed of a boat in still water is

11 km / hr

. It can go

12 km

upstream and return downstream to the original point in

2 hr 45 \min

. If the speed of the stream is

x km / hr

, then find the value of

x

.