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Vijay Sharma

· started a discussion

· 1 Months ago

please explain in lucid way

Question:

Truck (10 m) long and car (5 m long) go on a single lane bridge. There must be gap of atleast 20 m after each truck and a gap of at least 15 m after every car. Truck and cars travel at a speed of 36 km/h. If cars and trucks go alternatively, what is the maximum number of vehicles that can use the bridge in one hour?

Options:
A)

1440

B)

1200

C)

720

D)

600

Solution:

Ans: (a)

  

Sohil Rajput

· commented

· 1 Months ago

bhai seedha puchle lucid way jada hero ban rahe ho

Vijay Sharma

· commented

· 1 Months ago

So the distance in this frame = 20 + 10 + 15 + 5

= 50 m

Now given speed = 36 km / hr

= 36 * 5 / 18 m/s

= 10 m/s

Hence time taken to cover 50 m = 50 / 10

= 5 s

In other words , one bus and one car is involved in this time frame

Hence in 5s , no of vehicles passed = 2

in 1s , no of vehicles passed = 2/5

==> in 1 hr i.e. in 3600 s , no of vehicles passed = 2/5 * 3600

= 1440

Vijay Sharma

· commented

· 1 Months ago

again GATE

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