Example 15 - A car travels 90 km in 2 1/2 hours - Chapter 12 Class 6

Example 15 - Chapter 12 Class 6 Ratio And Proportion - Part 2
Example 15 - Chapter 12 Class 6 Ratio And Proportion - Part 3 Example 15 - Chapter 12 Class 6 Ratio And Proportion - Part 4

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Example 15 A car travels 90 km in 2 1/2 hours. (a) How much time is required to cover 30 km with the same speed? 2 1/2 hours = (2+1/2) hours = ((2 × 2 + 1)/2) hours = ((4 + 1)/2) hours = 5/2 hours = 5/2 × 60 minutes = 5 × 30 = 150 minutes Time required to cover 90 km = 150 minutes Time required to cover 1 km = (150/90) minutes Time required to cover 30 km = (150/90) × 30 minutes = 15/9 × 30 minutes = 5/3 × 30 minutes = 5 × 10 minutes = 50 minutes ∴ It will take 50 minutes for the car to cover 90 km. Example 15 A car travels 90 km in 2 1/2 hours. (b) Find the distance covered in 2 hours with the same speed. Distance covered in 2 1/2 (=5/2) hours = 90 km Distance covered in 1 hours = 90/(5/ 2) km = 90 ÷ 5/2 = 90 × 2/5 = (90 × 2)/5 Distance covered in 2 hours = ((90 × 2)/5) × 2 km = 90/5 × 2 × 2 km = 18 × 4 km = 72 km ∴ 72 km distance is covered in 2 hours

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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.