Ajita starts off from home at 07.00 hours with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 hours and takes an auto rickshaw to return home. The rickshaw has a uniform speed of 10 km/h. Draw the graph for the above situation and also determine the distance of Ajita’s school from her house.

Solution:

The graph of the above situation will look like as drawn below:

Since the speed the speed of the scooter is 30 km/hour and Ajita gets dropped in half an hour means that distance to school from her home is :

Distance/(1/2 hour) = 30 km/hour

Distance = 30(1/2) = 15 km

Since on return the auto’s speed is 10km/hour the time taken is 15/10 = 1.5 hours or one hour thirty minutes.

✦ Try This: Ajita starts off from home at 07.00 hours with her father on a scooter that goes at a uniform speed of 20 km/h and drops her at her school after one hour. She stays in the school till 13.00 hours and takes an autorickshaw to return home. The rickshaw has a uniform speed of 10 km/h. Draw the graph for the above situation and also determine the distance Ajita’s school from her house.

The graph of the above situation will look like as drawn below:

Since the speed the speed of the scooter is 20 km/hour and Ajita gets dropped in an hour means that distance to school from her home is :

Speed of scooter =20 km/hour

Distance covered in one hour = 20(1) = 20 km

Since on return the auto’s speed is 10km/hour the time taken is 20/10 = 2 hours. Hence she comes back home at 3pm.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 15

NCERT Exemplar Class 8 Maths Chapter 12 Problem 72

Ajita starts off from home at 07.00 hours with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 hours and takes an auto rickshaw to return home. The rickshaw has a uniform speed of 10 km/h. Draw the graph for the above situation and also determine the distance of Ajita’s school from her house.

Summary:

The graph given as the solution shows the distance covered with time when Ajitha leaves for school in the morning by scooter and comes back home in an autorickshaw.

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