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# How long does it take ail automobile traveling in the left lane of a highway at 60.0 km/h to overtake (become even with) another car that is traveling in the right lane at 40.0 km/h when the cars’ front bumpers are initially 100 m apart?

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### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027

#### Solutions

Chapter
Section
BuyFindarrow_forward

### College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027
Chapter 3, Problem 45AP
Textbook Problem
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## How long does it take ail automobile traveling in the left lane of a highway at 60.0 km/h to overtake (become even with) another car that is traveling in the right lane at 40.0 km/h when the cars’ front bumpers are initially 100 m apart?

To determine
The time taken for the automobile to overtake another car.

### Explanation of Solution

The velocity of the faster car relative to the slower car is,

vFS=vFEvSE

Here,

vFE is the velocity of the faster car relative to Earth

vSE is the velocity of the slower car relative to Earth

Substitute 60.0km/h for vFE and 40.0km/h for vSE .

vFS=60.0km/h40.0km/h=20.0km/h

Conclusion:

The time taken for the faster car to move 100m closer to the slower car is,

t=dvFS

Here,

d is the distance travelled

Substitute 100m for d and 20

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