Respuesta :
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.
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.
[tex]1\text{ km}=1,000\text{ m}[/tex]
[tex]\text{ 1 hm}=100\text{ m}[/tex]
[tex]\text{ 2 hm}=2\cdot 100\text{ m}=200\text{ m}[/tex]
[tex]\text{Distance covered by Ayush}=1,000\text{ m}+200\text{ m}=1200\text{ m}[/tex]
[tex]\text{1 dm}=10\text{ m}[/tex]
[tex]\text{30 dm}=30\cdot 10\text{ m}+300\text{ m}[/tex]
[tex]\text{Distance covered by Ayush}=300\text{ m}+200\text{ m}=500\text{ m}[/tex]
Since 500 meters is less than 1200 meters, therefore, Ayush's route is longer.
Let us find the difference between both routes as:
[tex]\text{1200 m}-500\text{ m}=700\text{ m}[/tex]
Therefore, Ayush's route is 700 meters longer that is equal to [tex]\frac{700}{1000}\text{ km}=0.7\text{ km}[/tex].