Train Speed and Distance Problems

A 725 m long train passes through a 235 m long tunnel in 48 sec. Find the speed of the train.

• 82 km/h

• 72 km/h

• 54/h

• 66/h

Answer explanation

The total distance the train travels while passing through the tunnel is 725 m + 235 m = 960 m. Speed = Distance/Time = 960 m / 48 s = 20 m/s. Converting to km/h: 20 m/s * 18/5 = 72 km/h. Thus, the correct answer is 72 km/h.

A train travels 20 km in 24 minutes. If its speed is increased by 5 km/h, the time taken by it to cover the same distance will be _______ minutes.

• 9 2611

• 9 2111

• 9 2911

• 9 2711

Answer explanation

The train's initial speed is 50 km/h (20 km in 24 min). Increasing speed by 5 km/h gives 55 km/h. Time = Distance/Speed = 20 km / 55 km/h = 0.3636 hours = 21.82 minutes, approximately 21 minutes. Thus, the answer is 9 2111.

A train is moving with the speed of 90 km/h. How many meters will it cover in 15 min?

• 23500

• 24500

• 21500

• 22500

Answer explanation

To find the distance covered, convert 15 minutes to hours (15/60 = 0.25 hours). Then, use the formula: Distance = Speed × Time. Distance = 90 km/h × 0.25 h = 22.5 km = 22500 meters. Thus, the correct answer is 22500.

A train is travelling at a speed of 45 km/hr. Calculate the distance that will be covered by the train in 64 seconds.

• 0.8 km

• 4 km

• 2.94 km

• 8 km

Answer explanation

To find the distance, convert speed to m/s: 45 km/hr = 12.5 m/s. Then, use the formula: distance = speed × time. In 64 seconds, distance = 12.5 m/s × 64 s = 800 m = 0.8 km. Thus, the correct answer is 0.8 km.

A train covers a distance of 35 km in 60 min. How long will it take to cover 105 km?

• 180 min

• 120 min

• 140 min

• 90 min

Answer explanation

The train's speed is 35 km in 60 min, which is 0.583 km/min. To cover 105 km, it will take 105 km / 0.583 km/min = 180 min. Thus, the correct answer is 180 min.

A train is moving at a speed of 180 km/h. Its speed expressed in m/s is:

• 50 m/s

• 40 m/s

• 30 m/s

• 5 m/s

Answer explanation

To convert km/h to m/s, divide by 3.6. Thus, 180 km/h ÷ 3.6 = 50 m/s. Therefore, the correct answer is 50 m/s.

The ratio between the speeds of two trains is 7:5. If the second train runs 400 km in 4 h, then the speed of the first train is:

• 142 km/h

• 145 km/h

• 148 km/h

• 140 km/h

Answer explanation

The speed of the second train is 100 km/h (400 km in 4 h). With a speed ratio of 7:5, the first train's speed is (7/5) * 100 km/h = 140 km/h. Thus, the speed of the first train is 140 km/h.

A train is travelling at a uniform speed of 75 km/h. How far will it travel in 20 minutes?

• 20 km

• 40 km

• 4 km

• 25 km

Answer explanation

To find the distance, use the formula: Distance = Speed × Time. Convert 20 minutes to hours (20/60 = 1/3 hours). Then, Distance = 75 km/h × 1/3 h = 25 km. Thus, the train travels 25 km.

A train is moving at a uniform speed of 75 km/h. Find the time required by the train to cover a distance of 250 km.

• 2 h

• 3 h 5 min

• 3 h

• 3 h 20 min

Answer explanation

To find the time, use the formula: time = distance/speed. Here, time = 250 km / 75 km/h = 3.33 hours, which is 3 hours and 20 minutes. Thus, the correct answer is 3 h 20 min.

A train covers 400 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 2 h less for the same journey. find the speed of the train

• 45 km/h

• 40 km/h

• 55 km/h

• 50 km/h

Answer explanation

Let the speed of the train be x km/h. The time taken at speed x is 400/x hours. At speed (x + 10) km/h, the time is 400/(x + 10) hours. Setting up the equation: 400/x - 400/(x + 10) = 2 leads to x = 40 km/h.