# Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar

**Solution:**

We use the concept of ratio and proportion to answer the given question.

We know that the distance travelled by Hamid in an hour = 9 km and the distance travelled by Akhtar in an hour = 12 km

We know that Speed = Distance travelled / Time Taken to travel the distance

Therefore, Speed of Hamid = Distance travelled by Hamid / Time Taken by Hamid to travel the distance = 9 km/hour

Therefore, Speed of Akhtar = Distance travelled by Akhtar / Time Taken by Akhtar to travel the distance =12 km/hour

Now, we need to find the ratio of the speed of Hamid to the speed of Akhtar

The ratio of the speed of Hamid to the speed of Akhtar = Speed of Hamid: Speed of Akhtar = 9:12

Now, in order to write the ratio in its simplest form, we divide 9 and 12 by a common factor of 3

Therefore, the ratio of the speed of Hamid to the speed of Akhtar = 3:4

NCERT Solutions Class 6 Maths Chapter 12 Exercise 12.1 Question 4

## Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km. Find the ratio of the speed of Hamid to the speed of Akhtar

**Summary: **

Using the concept of ratio and proportion, it can be concluded that the ratio of the speed of Hamid to the speed of Akhtar is 3:4.

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