Question 18 of 20intermediate🔧 ApplyNumerical3 marks

Amritpal decides on a destination for his vacation. If he takes a train, it will take him 5165\frac{1}{6} hours to get there. If he takes a plane, it will take him 12\frac{1}{2} hour. How many hours does the plane save?

Correct Answer

Given: Train time = 5165\frac{1}{6} hours Plane time = 12\frac{1}{2} hour

Formula: Time saved = Train time – Plane time

Calculation: Step 1: Convert mixed fraction: 516=3165\frac{1}{6} = \frac{31}{6} hours Step 2: Convert 12\frac{1}{2} to same denominator: 12=36\frac{1}{2} = \frac{3}{6} hours Step 3: Time saved = 316−36=286=143=423\frac{31}{6} - \frac{3}{6} = \frac{28}{6} = \frac{14}{3} = 4\frac{2}{3} hours

Answer: The plane saves 4234\frac{2}{3} hours.

Exercise: Figure it Out (Section 4) | Q: 7 | (Page Page 25)
For More Understanding

Explanation

The chapter explains subtraction of fractions. Train time = 516=3165\frac{1}{6} = \frac{31}{6} hours. Plane time = 12=36\frac{1}{2} = \frac{3}{6} hours. Time saved = 316−36=286=143=423\frac{31}{6} - \frac{3}{6} = \frac{28}{6} = \frac{14}{3} = 4\frac{2}{3} hours.

Solution Steps

  1. Step 1: Convert mixed fraction: 516=3165\frac{1}{6} = \frac{31}{6} hours

  2. Step 2: Convert 12\frac{1}{2} to same denominator: 12=36\frac{1}{2} = \frac{3}{6} hours

  3. Step 3: Time saved = 316−36=286=143=423\frac{31}{6} - \frac{3}{6} = \frac{28}{6} = \frac{14}{3} = 4\frac{2}{3} hours

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