Question

Ayush and sumit take two different routes to school. Ayush's route is 1km 2hm long while sumit route is 2hm 30dam long while route is longer and by how many metres/ kilometres?

Answer 1

Answer:

Ayush's route is 700 meters or 0.7 km longer than Sumit's route.

Step-by-step explanation:

We have been given that Ayush and Sumit take two different routes to school. Ayush's route is 1 km 2 hm long while Sumit's route is 2 hm 30 dam long.

First of all, we will convert each of our given distances into meters.

$1\text{ km}=1,000\text{ m}$

$\text{ 1 hm}=100\text{ m}$

$\text{ 2 hm}=2\cdot 100\text{ m}=200\text{ m}$

$\text{Distance covered by Ayush}=1,000\text{ m}+200\text{ m}=1200\text{ m}$

$\text{1 dm}=10\text{ m}$

$\text{30 dm}=30\cdot 10\text{ m}+300\text{ m}$

$\text{Distance covered by Ayush}=300\text{ m}+200\text{ m}=500\text{ m}$

Since 500 meters is less than 1200 meters, therefore, Ayush's route is longer.

Let us find the difference between both routes as:

$\text{1200 m}-500\text{ m}=700\text{ m}$

Therefore, Ayush's route is 700 meters longer that is equal to $\frac{700}{1000}\text{ km}=0.7\text{ km}$.

Answer 2

Answer:

Ayush's route is 0.7 km or 700m longer than Sumit route.

Step-by-step explanation:

Ayush's route is 1km 2hm long while sumit route is 2hm 30dam.

We know that,

1 km = 10 hm

1 dam = 0.1 hm

Using these conversions we get

Ayush's route = 1km 2hm = (1×10) hm + 2 hm = 12 hm

Sumit route = 2hm 30dam = 2 hm + (30×0.1) hm = 2 hm + 3 hm = 5 hm

Ayush's route is longer.

Difference = 12 hm - 5 hm = 7 hm = 0.7 km            [1 km = 10 hm]

Hence, Ayush's route is 0.7 km or 700 m longer than Sumit route.