A train 700 m long is running at a speed of 72 Km/h. If it crosses a t

1.	A train 700 m long is running at a speed of 72 Km/h. If it crosses a tunnel in 1 minute, then the length of the tunnel is:‐1. 650 m2. 550 m3. 700 m4. 500 m
Answer» Correct Answer - Option 4 : 500 m Given: Length of train = 700 m Speed of train = 72 km/hr Train crossed the tunnel in 1 minute Concept used: To cross the tunnel train needs to travel = Length of train + length of tunnel Speed × Time = Distance Calculation: Length of train = 700 m Let the length of tunnel be x Time taken to cross the tunnel = 1 minute = 60 sec. Speed = 72 kmph = (72 × 5)/18 = 20 m/sec. To cross the tunnel train needs to travel = Length of train + length of tunnel = 700 + x Now, Speed × Time = Distance 20 × 60 = 700 + x ⇒ x = 1200 – 700 = 500 ∴ Length of tunnel = 500 m.

A train 700 m long is running at a speed of 72 Km/h. If it crosses a tunnel in 1 minute, then the length of the tunnel is:‐1. 650 m2. 550 m3. 700 m4. 500 m

Answer» Correct Answer - Option 4 : 500 m

Given:

Length of train = 700 m

Speed of train = 72 km/hr

Train crossed the tunnel in 1 minute

Concept used:

To cross the tunnel train needs to travel = Length of train + length of tunnel

Speed × Time = Distance

Calculation:

Length of train = 700 m

Let the length of tunnel be x

Time taken to cross the tunnel = 1 minute = 60 sec.

Speed = 72 kmph = (72 × 5)/18 = 20 m/sec.

To cross the tunnel train needs to travel = Length of train + length of tunnel = 700 + x

Now,

Speed × Time = Distance

20 × 60 = 700 + x

⇒ x = 1200 – 700 = 500

∴ Length of tunnel = 500 m.

Discussion

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