Question

4. Rohit goes to his school by car at 60 km per hour and Manoj goes to the
same school by scooty at 40 km per hour. If they both lived in the same
locality, find the ratio between the time taken by Rohit and Manoj to reach
their school.​

Answer 1

Required Answer:

• Required Ratio is 2:3

Given:

• Rohit goes to his school by car at 60km/hr
• Manoj goes to the same school by scooty at 40km/hr
• Rohit and Manoj lives in same locality.

To find:

• Ratio between the time taken by Rohit and Manoj to reach their school.

Solution:

According to the question, we know that Rohit and Manoj lives in same locality. This implies that the distance from their home to school is same for both Rohit and Manoj.

Let us consider, Rohit and Manoj's Distance = x

To find the time taken to reach their school, we use the formula:

⇒Time taken = Distance/Speed

Let us use this formula to find the ratio,

⇒Time taken by Rohit to reach the school = x/60

⇒Time taken by Manoj to reach the school = x/40

On dividing,

⇒Time taken by Rohit/Time taken by Manoj = (x/60)/(x/40)

Time taken by Rohit/Time taken by Manoj = 2/3

Hence, our required ratio is:

• Ratio of time taken by Rohit and Manoj to reach their school = 2:3