How to solve questions with Inverse Proportion?

Transcript

How to solve questions with Inverse Proportion? Let’s take an example Suppose at 50 km/hr, it takes us 4 hours to reach a destination. How much time would it take to reach a destination if speed is 100 km/hr? Given that, It takes 4 hours to reach destination at speed of 50 km/hr We need to find how much time would it take if speed is 100 km/hr Let the time taken be x hours Now, we draw a table Now, as Speed increases Time taken will decreases So, Time and Speed are in Inverse Proportion So, we write numbers as 𝒙_𝟏 𝒚_𝟏 = 𝒙_𝟐 𝒚_𝟐 So, 𝒙_𝟏 𝒚_𝟏 = 𝒙_𝟐 𝒚_𝟐 4 × 50 = 𝑥 × 100 (4 × 50)/100 = 𝑥 4/2 = 𝑥 2 = 𝑥 𝒙 = 2 So, it takes 2 hours to travel Let’s take another example Suppose 5 workers complete a job in 10 days. How much time would it take if there are 10 workers? Given that, 5 workers complete a job in 10 days We need to find much time would it take if there are 10 worker Let the time taken be y days Now, we draw a table Now, As Number of workers increases, Time taken to complete the job will decrease So, they are in Inverse Proportion So, we write numbers as 𝒙_𝟏 𝒚_𝟏 = 𝒙_𝟐 𝒚_𝟐 5 × 10 = 10 × 𝑦 (5 × 10)/10=𝑦 5 = 𝑦 𝒚 = 5 So, it will take 5 days