Speed, Time & Distance Quiz

A student walks from his house at 2.5 km/hour and reaches his school 6 minutes after school time. Next day he increases his speed by 1 km/hour and reaches his school 6 minutes before school time. How far is the school from his house?

• 2.25 km

• 2.5 km

• 1.75 km

• 2 km

Answer explanation

Let the distance to school be x km. At 2.5 km/h, he is late by 6 minutes, and at 3.5 km/h, he is early by 6 minutes. Setting up the equations, we find x = 1.75 km, which is the correct answer.

Julie can cover a distance of 140 m in 18 seconds. At that given speed how much distance can Julie cover in 1 hour?

• 25.2 km

• 31.5 km

• 28 km

• 29.4 km

Answer explanation

Julie's speed is 140 m in 18 seconds, which is approximately 7.78 m/s. In 1 hour (3600 seconds), she can cover 7.78 m/s * 3600 s = 28008 m or 28 km. Thus, the correct answer is 28 km.

Avik runs at a speed of 8 metres per second. How many kilometres will Avik cover in 24 minutes if he continues running at the same speed?

• 11.44

• 11.56

• 11.60

• 11.52

Answer explanation

Avik runs at 8 m/s for 24 minutes (1440 seconds). Distance = speed × time = 8 m/s × 1440 s = 11520 m. Convert to km: 11520 m = 11.52 km. Thus, the correct answer is 11.52.

Ravi has to go from Hyderabad to Delhi. The distance between Hyderabad and Delhi is 1,200 kms. He decides to travel 25% of the distance on foot, 30% of the distance by bus, 15% of the distance by train and the remaining distance by an airplane. What is the distance travelled by Ravi by an Airplane?

• 580 km

• 360 km

• 300 km

• 425 km

Answer explanation

Ravi travels 25% on foot (300 km), 30% by bus (360 km), and 15% by train (180 km). Total distance covered is 300 + 360 + 180 = 840 km. Remaining distance by airplane is 1200 - 840 = 360 km.

Suhas travelled by train to cover 5/12 of the journey, and then travelled by bus to cover 1/3 of the journey. After that he travelled the remaining 36 km on a bicycle. How much in all did Suhas travel?

• 132 km

• 144 km

• 150 km

• 168 km

Answer explanation

Let the total journey be x km. Suhas covered 5/12 of x by train and 1/3 of x by bus. The remaining distance is 36 km. Thus, x - (5/12)x - (1/3)x = 36. Solving gives x = 144 km. Therefore, Suhas travelled a total of 144 km.

Vaishali covers a certain distance by car at 50 kmph and returns to the original place through the same route on a bicycle at 10 kmph. If the time taken by her for the whole journey was 2 hours 24 minutes, then what was the total distance that she covered?

• 40 km

• 50 km

• 48 km

• 60 km

Answer explanation

Let the distance be x km. Time by car = x/50, time by bicycle = x/10. Total time = x/50 + x/10 = 2.4 hours. Solving gives x = 40 km. Thus, the total distance covered is 40 km.

If a man takes 36 minutes to cover a certain distance at a speed of 5 km/h, then the distance covered by him is:

• 2 km

• 3.5 km

• 3 km

• 2.5 km

Answer explanation

To find the distance, use the formula: Distance = Speed × Time. Here, Speed = 5 km/h and Time = 36 minutes (0.6 hours). Thus, Distance = 5 × 0.6 = 3 km. Therefore, the correct answer is 3 km.

A person can complete a journey in 14 hours. He covers the first one-third of the distance at the rate of 40 km/h and the remaining distance at the rate of 60 km/h. What is the total distance of his journey?

• 720 km

• 360 km

• 540 km

• 480 km

Answer explanation

The total distance is 720 km. The first one-third is 240 km (8 hours at 40 km/h), and the remaining two-thirds is 480 km (8 hours at 60 km/h). Thus, 240 km + 480 km = 720 km.

A car covers certain distance in 2 1/4 hours at 36 miles/h and another distance in 1 3/4 hours at 56 miles/h. Find the total distance (in miles) travelled by the car.

• 159

• 139

• 200

• 179

Answer explanation

The car travels 36 miles/h for 2.25 hours covering 81 miles, and 56 miles/h for 1.75 hours covering 98 miles. Total distance = 81 + 98 = 179 miles. Thus, the correct answer is 179.

Two women walk from a place at the speeds of 6 km/h and 8 km/h respectively. First woman takes 40 min more than the second one to cover the distance. Find the distance.

• 14 km

• 16 km

• 12 km

• 10 km

Answer explanation

Let the distance be d km. Time taken by first woman = d/6 hours, second woman = d/8 hours. Given: d/6 = d/8 + 2/3. Solving gives d = 16 km. Thus, the distance is 16 km.