Ex 13.2, 9 A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?
Given,
If speed is 60 km/h, then car takes 2 hours to reach the destination.
We need to find how long will it take to reach the destination if speed is 80 km/h
Let the time taken by car be 𝑦 hours
Thus, our table looks like
As we increase the speed of car
the time taken to reach the destination reduces
(as the Distance remains the same)
∴ They are in inverse proportion
60 × 2 = 80 × 𝑦
(60 × 2)/80 = 𝑦
3/2 = 𝑦
𝑦 = 3/2 hours
𝑦 = 11/2 hours
∴ Car will take 𝟏 𝟏/𝟐 hours to reach the destination

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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