Home
Class 6
MATHS
A car travelled 235 km north from Delhi ...

A car travelled `235 km` north from Delhi and then `756 km` south of it. How far from Delhi is the car ?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will analyze the movements of the car and use integers to represent the distances traveled in different directions. ### Step-by-Step Solution: 1. **Identify the Directions**: - The car first travels **north** from Delhi. - Then, it travels **south**. 2. **Assign Values to the Distances**: - The distance traveled **north** is **235 km**. We can represent this as a positive integer: \[ \text{Distance North} = +235 \text{ km} \] - The distance traveled **south** is **756 km**. Since south is the opposite direction of north, we represent this as a negative integer: \[ \text{Distance South} = -756 \text{ km} \] 3. **Calculate the Total Distance from Delhi**: - To find the total distance from Delhi, we add the distances: \[ \text{Total Distance} = \text{Distance North} + \text{Distance South} \] \[ \text{Total Distance} = +235 + (-756) \] \[ \text{Total Distance} = 235 - 756 \] \[ \text{Total Distance} = -521 \text{ km} \] 4. **Interpret the Result**: - The negative sign indicates that the car is **521 km south** of Delhi. Therefore, the distance from Delhi is: \[ \text{Distance from Delhi} = 521 \text{ km} \] ### Final Answer: The car is **521 km** away from Delhi, in the south direction. ---
Promotional Banner

Similar Questions

Explore conceptually related problems

A man travelled 137 km to east of Mumbai and then 235 km to the west from that point . How far from Mumbai was he finally ?

A man travels 90 km due East and then 56 km due South. How far is the form the starting point ?

A car travels 165 km in 3 hours. How far will it travel in 5 hours?

A car starts from rest, attain a velocity of 36 km h^(-1) with an acceleration of 0.2 m s^(-2) , travels 9 km with this uniform velocity and then comes to halt with a uniform deaceleration of 0.1 m s^(-2) . The total time of travel of the car is

A car travels 432 km on 48 litres of petrol. How far would it travel on 20 litres of petrol ?

A train travels from Agra to Delhi with a constant speed of 50 km h^(-1) and returns from Delhi to Agra with a constant speed of 40 km h^(-1) . Find the average speed of the train.

In going from one city to another, a car travels 75 km north, 60 km north-west and 20 km east,The magnitude of displacement between the two cities is (take1//sqrt(2)=0.7)

A car travels a distance 50 km with a velocity 25 km h^(-1) and then 60 km with a velocity 20 km h^(-1) in the same direction. Calculate : (i) the total time of journey and (ii) the average velocity of the car.

A car travels a distance of 200 km in 3 h. Find the speed of car in ms^(-1)

A car travels 165km in 3 hours How long will it take to travel 440 km? How far will it travel in 6 1/2\ hours?