Aarushi was driving a car with uniform speed of 60 km/hr. Write a linear equation in two variables to represent this situation. Draw its graph. From the graph (a) find the distance travelled by Arushi in 2^1/2 hours (b) find the time taken by her to cover a distance of 200 km.
Answers
Answer:
Let x be the time and y be the distance travelled by Aarushi
Given Speed of the car is 60 km/hr
As we know that
Speed=
time
distance
⟹60=
x
y
⟹y=60x⋯(1)
To draw the graph ,we need at least two solutions of the equation
Put x=0 in (1)
y=60(0)=0
So (0,0) is a solution of the equation
Put x=0.5 in (1)
y=60(0.5)=30
So (0.5,30) is a solution of the equation
(i) given time is 2
2
1
hours
⟹x=2
2
1
=2+
2
1
=2.5
From the graph ,
for x=2.5 hrs ,y will be 150
Distance travelled by Aarushi is 150 km
(ii) given time is
2
1
hours
⟹x=
2
1
=0.5
From the graph ,
for x=0.5 hrs ,y will be 30
Distance travelled by Aarushi is 30 km
Let x be the time and y be the distance travelled by Aarushi
Given Speed of the car is 60 km/hr
As we know that
Speed=
time
distance
⟹60=
x
y
⟹y=60x⋯(1)
To draw the graph ,we need at least two solutions of the equation
Put x=0 in (1)
y=60(0)=0
So (0,0) is a solution of the equation
Put x=0.5 in (1)
y=60(0.5)=30
So (0.5,30) is a solution of the equation
(i) given time is 2
2
1
hours
⟹x=2
2
1
=2+
2
1
=2.5
From the graph ,
for x=2.5 hrs ,y will be 150
Distance travelled by Aarushi is 150 km
(ii) given time is
2
1
hours
⟹x=
2
1
=0.5
From the graph ,
for x=0.5 hrs ,y will be 30
Distance travelled by Aarushi is 30 km