Exercise 3.10 Archives - Noon Academy

Exercise 3.10

Places A and B are $80km$ apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction, they meet in $8hr$ and if they move in opposite directions, they meet in $1hr20min$ . Find the speeds of the cars.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let the speed of the car leaving A to be 'x' km/h and the speed of the car leaving B to be 'y' km/h. Total distance=80 km Also 1 hour 20 mins= 4/3 hour When an automobile goes in the same direction...

A woman travels $600km$ partly by train and partly by car. If he covers the $400km$ by train and the rest by car, it takes him $6hr$ and $30min$ . But, if he travels $200km$ by train and the rest by car, he takes half an hour longer. Find the speed of the train and the speed of the car.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let’s suppose speed of the train be $Akm/hr$ speed of the car $=Bkm/hr$ There are two parts Part 1: When the women travels $400km$ by train and the rest by car. Part 2: When Riya travels $200km$ by...

Ramesh travels $760km$ to his home partly by train and partly by car. It takes $8hr$ if he travels $160km$ by train and the rest by car. He takes $12min$ more if he travels $240km$ by train and the rest by car. Find the speed of the train and car respectively.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let’s assume, The speed of the train be $Ckm/hr$ The speed of the car $=Dkm/hr$ From the question, it’s understood that there are two parts # Part 1: When Ramesh travels $160Km$ by train and the...

A person rowing at the rate of 5km/h in still water, takes thrice as much time in going 40 km upstream as in going 40km downstream. Find the speed of the stream.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let’s assume C to be the speed of the stream. So, we know that Speed of boat in downstream $=(5+C)$ and, Speed of boat in upstream $=(5–C)$ It is given that, The distance in one way is $40km$. And,...

A man walks a certain distance with a certain speed. If he walks $1/2km$ an hour faster, he takes 1 hour less. But, if he walks 1km an hour slower, he takes 3 more hours. Find the distance covered by the man and his original rate of walking.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let the actual speed of the man be $Ckm/hr$ and D be the actual time taken by him in hours. So, we know that Distance covered = speed C distance ⇒ Distance$=C\times D=CD$ …………………………. (i) First...

A boat goes $24km$ upstream and $28km$ downstream in $6hrs$ . It goes $30km$ upstream and $21km$ downstream in $6.5$ hours. Find the speed of the boat in still water and also speed of the stream.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let’s assume, The speed of the boat in still water as $Ckm/hr$ And, The speed of the stream as $Dkm/hr$ We know that, Speed of the boat in upstream $=(C–D)km/hr$ Speed of the boat in downstream...

The boat goes $30km$ upstream and $44km$ downstream in $10$ hours. In $13$ hours, it can go $40km$ upstream and $55km$ downstream. Determine the speed of the stream and that of the boat in still water.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

A sailor goes $8km$ downstream in $40$ minutes and returns in $1$ hour. Determine the speed of the sailor in still water and the speed of the current.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let’s assume, The speed of the sailor in still water as $Ckm/hr$ And, The speed of the current as $Dkm/hr$ We know that, Speed of the sailor in upstream $=(C–D)km/hr$ Speed of the sailor in...

Points A and B are $70km$ . apart on a highway. P car starts from P and another car starts from B simultaneously. If the D travel in the same direction, the D meet in $7hrs$ , but if the D travel towards each other, the D meet in one hour. Find the speed of two cars.

CBSE, Class 10, Exercise 3.10, Maths, Pair of Linear Equations In Two Variables, RD Sharma

Let’s consider the car starting from point P as C and its speed as C km/hr. The car starts from point B as D and its speed as D km/hr. There are two cases in the question: Case i: Car C and D are...

Places A and B are $80km$ apart from each other on a highway. A car starts from A and another from B at the same time. If they move in the same direction, they meet in $8hr$ and if they move in opposite directions, they meet in $1hr20min$ . Find the speeds of the cars.

A woman travels $600km$ partly by train and partly by car. If he covers the $400km$ by train and the rest by car, it takes him $6hr$ and $30min$ . But, if he travels $200km$ by train and the rest by car, he takes half an hour longer. Find the speed of the train and the speed of the car.

Ramesh travels $760km$ to his home partly by train and partly by car. It takes $8hr$ if he travels $160km$ by train and the rest by car. He takes $12min$ more if he travels $240km$ by train and the rest by car. Find the speed of the train and car respectively.

A person rowing at the rate of 5km/h in still water, takes thrice as much time in going 40 km upstream as in going 40km downstream. Find the speed of the stream.

A man walks a certain distance with a certain speed. If he walks $1/2km$ an hour faster, he takes 1 hour less. But, if he walks 1km an hour slower, he takes 3 more hours. Find the distance covered by the man and his original rate of walking.

A boat goes $24km$ upstream and $28km$ downstream in $6hrs$ . It goes $30km$ upstream and $21km$ downstream in $6.5$ hours. Find the speed of the boat in still water and also speed of the stream.

The boat goes $30km$ upstream and $44km$ downstream in $10$ hours. In $13$ hours, it can go $40km$ upstream and $55km$ downstream. Determine the speed of the stream and that of the boat in still water.

A sailor goes $8km$ downstream in $40$ minutes and returns in $1$ hour. Determine the speed of the sailor in still water and the speed of the current.

Points A and B are $70km$ . apart on a highway. P car starts from P and another car starts from B simultaneously. If the D travel in the same direction, the D meet in $7hrs$ , but if the D travel towards each other, the D meet in one hour. Find the speed of two cars.

Sign up now and study all subjects for free

Class

Syllabus

Question Papers

Social Media

Apps