Aftab is diriving a coar with unifomr speed of 60 km/hr assuming total distance to y km & time taken as x hours form a linear equation draw the graph from the graph read the following
(i) distance travelled in 90 minutes
(ii) Time taken to cover a distacne of 150 km

Answer

To solve the problem step by step, we will first form the linear equation based on the given information and then answer the two parts of the question.

### Step 1: Form the Linear Equation
Given:
- Speed = 60 km/hr
- Distance = y km
- Time = x hours

From the formula for speed:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \implies 60 = \frac{y}{x} \]

Rearranging this gives us:
\[ y = 60x \]

### Step 2: Draw the Graph
To draw the graph of the equation \(y = 60x\):
- Choose values for \(x\) (time in hours) and calculate corresponding \(y\) (distance in km).
- For example:
- If \(x = 0\), then \(y = 60 \times 0 = 0\) (point (0,0))
- If \(x = 1\), then \(y = 60 \times 1 = 60\) (point (1,60))
- If \(x = 2\), then \(y = 60 \times 2 = 120\) (point (2,120))

Plot these points on a graph and draw a straight line through them.

### Step 3: Find Distance Travelled in 90 Minutes
To find the distance travelled in 90 minutes:
1. Convert 90 minutes to hours:
\[ 90 \text{ minutes} = \frac{90}{60} \text{ hours} = 1.5 \text{ hours} \]
2. Substitute \(x = 1.5\) into the equation \(y = 60x\):
\[ y = 60 \times 1.5 = 90 \text{ km} \]

### Step 4: Find Time Taken to Cover a Distance of 150 km
To find the time taken to cover a distance of 150 km:
1. Use the equation \(y = 60x\) and set \(y = 150\):
\[ 150 = 60x \]
2. Solve for \(x\):
\[ x = \frac{150}{60} = 2.5 \text{ hours} \]

### Final Answers:
(i) Distance travelled in 90 minutes = **90 km**
(ii) Time taken to cover a distance of 150 km = **2.5 hours**