Explanation Given: A bus travelling at 60 miles per hour to overtake a car travelling at 40 miles per hour if the car had a 1.5 hour head start Concept: Using the rule: Distance = rate ⋅ time or d = r ⋅ t , or t = d r , where ‘d’ stands for distance, ‘r’ stands for rate and ‘t’ stands for time. Calculation: We are given that a bus travelling at 60 miles per hour to overtake a car travelling at 40 miles per hour if the car had a 1.5 hour head start Let the time taken by the bus = x hours The time taken by the cars = (x − 1.5) hours We know the formula: d = r ⋅ t , or t = d r , where ‘d’ stands for distance, ‘r’ stands for rate and ‘t’ stands for time. Prepare a chart to organize the information in the problem. Distance = Rate ⋅ Time Car 60( x − 1.5 ) = 60 ⋅ (x − 1.5 ) Bus 40x = 40 ⋅ x TRANSLATE: Since the time taken for upstream and downstream are same. We can write In words Distance travelled by the car Equal to Distance travelled by the bus Translate 60 ( x − 1.5 ) = 40 x Step 3: Equation: 60 ( x − 1.5 ) = 40 x To solve for x we are using the distributive method of multiplication. 60 ( x − 1.5 ) = 40 x 60 ⋅ x − 60 ⋅ ( 1

15th Edition

ISBN: 9780321978929

Author: Martin-Gay

Publisher: PEARSON

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Chapter 14.6, Problem 50ES

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Find the time taken by the bus.

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Chapter 14.6, Problem 49ES

Chapter 14.6, Problem 51ES

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Ch. 14.1 - Use the choices below to fill in each blank. Some...Ch. 14.1 - Prob. 2VRVC Ch. 14.1 - Prob. 3VRVC Ch. 14.1 - Prob. 4VRVC Ch. 14.1 - Prob. 5VRVC Ch. 14.1 - Prob. 6VRVC Ch. 14.1 - Prob. 7VRVC Ch. 14.1 - Prob. 8VRVC Ch. 14.1 - Prob. 1ES Ch. 14.1 - Prob. 2ES

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Find the time taken by the bus.

Solution Summary: The author calculates the time taken by the bus by using the distributive method of multiplication.

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