A train is moving at a uniform speed of 75 km/hour. (I) How far will it travel in 20 minutes ?
(II) Find the time required to cover a distance of 250 km ?

Please help ASAP

→ Let the distance travelled (in km) in 20 mins be (x) and time taken (in mins) to cover 250km be y.

As we know , ( 1 hour = 60 minutes ) .

• Distance travelled (in km) = 75 , x , 250.

• Distance travelled (in mins) = 60 , 20 , y .

→ Since the speed is uniform , Therefore , The distance covered would be directly proportional to time .

• We have ;

So , the train will cover a distance of 25km in 20 minutes...

• Also ;

→ 200 mins , 3 hrs , 20 mins

Therefore , 3 hours 20 minutes will be required to cover a distance of 250 kilometres.

→ Alternatively , When x is known , Then one can determine y from the relation ;

→ You know that a map is a miniature representation of a very large region .

→ A scale is usually given at the bottom of the map. The scale shows a relationship between actual length and the length represented on the map .

→ The scale of the map is thus the ratio of the distance between two points on the map to the actual distance between two points on the large region .

→ For example :- If 1 cm on the map represents 8km of actual distance [ i.e., the scale is 1cm : 8km or 1 : 800,000 ] then 2cm on the same map will represent 16km. Hence , We can say that scale of a map is based on the concept of direct proportion...

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