HARD

10th CBSE

IMPORTANT

Earn 100

Points $A$ and $B$ are $70 km$ apart on a highway. $A$ car starts from $A$ and another car starts from $B$ simultaneously. If they travel in the same direction, they meet in $7$ hours. But, if they travel towards each other, they meet in $1$ hour. Find the speed of each car.

Important Questions on Linear Equations in Two Variables

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 32

A train covered a certain distance at a uniform speed. If the train had been

5 kmph

faster, it would have taken

3

hours less than the scheduled time. And, if the train were slower by

4 kmph

, it would have taken

3

hours more than the scheduled time. Find the length of the journey.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 33

Abdul travelled

300 km

by train and

200 km

by taxi taking

5

hours and

30

minutes. But, if he travels

260 km

by train and

240 km

by taxi, he takes

6 minutes

longer. Find the speed of the train and that of the taxi.
Question Image

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 34

Places

A

and

B

are

160 k m

apart on a highway. One car starts from

A

and another from

B

at the same time. If they travel in the same direction, they meet in

8

hours. But, if they travel towards each other, they meet in

2

hours. Find the speed of each car.

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 35

A sailor goes

8 km

downstream in

40

minutes and returns in

1

hour. Find the speed of the sailor in still water and the speed of the current.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 36

A boat goes

12 km

upstream and

40 km

downstream in

8

hours. It can go

16 km

upstream and

32 km

downstream in the same time. Find the speed of the boat in still water and the speed of the stream

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 37

2

men and

5

boys can finish a piece of work in

4

days, while

3

men and

6

boys can finish it in

3

days. Find the time taken by one man alone to finish the work and that taken by one boy alone to finish the work.

MEDIUM

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 38

The length of a room exceeds its breadth by

3

meters. If the length is increased by

3

meters and the breadth is decreased by

2

meters, the area remains the same. Find the length and the breadth of the room.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 3 - Linear Equations in Two Variables>Exercise 3E>Q 39

The area of a rectangle gets reduced by

8 m^{2}

, when its length is reduced by

5 m

and its breadth is increased by

3 m

. If we increase the length by

3 m

and breadth by

2 m

, the area is increased by

74 m^{2}

. Find the length and the breadth of the rectangle.

Points A and B are 70 km apart on a highway. A car starts from A and another car starts from B simultaneously. If they travel in the same direction, they meet in 7 hours. But, if they travel towards each other, they meet in 1 hour. Find the speed of each car.

Important Questions on Linear Equations in Two Variables

Learn and Prepare for any exam you want !

Points $A$ and $B$ are $70 km$ apart on a highway. $A$ car starts from $A$ and another car starts from $B$ simultaneously. If they travel in the same direction, they meet in $7$ hours. But, if they travel towards each other, they meet in $1$ hour. Find the speed of each car.