GATE CE 2018 Set 2 — Question 45
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Transportation Engineering → Cross-Section & Sight Distance → Overtaking Sight Distance
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Question
A car follows a slow moving truck (travelling at a speed of 10 m/s) on a two-lane two-way highway. The car reduces its speed to 10 m/s and follows the truck maintaining a distance of 16 m from the truck. On finding a clear gap in the opposing traffic stream, the car accelerates at an average rate of 4 m/s, overtakes the truck and returns to its original lane. When it returns to its original lane, the distance between the car and the truck is 16 m. The total distance covered by the car during this period (from the time it leaves its lane and subsequently returns to its lane after overtaking) is
Correct answer
(B) 72 m
Solution
The distance covered during overtaking () is given by:where:
m/s (speed of the truck)
m (initial and final spacing)
m/s (acceleration)The time taken for overtaking () is:Now, calculate :Thus, the total distance covered by the car is 72 m.
m/s (speed of the truck)
m (initial and final spacing)
m/s (acceleration)The time taken for overtaking () is:Now, calculate :Thus, the total distance covered by the car is 72 m.
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