Explanation

Convert the speeds of the trains from km/h to m/s

1 km/h = 1000 m/3600 s

Speed of the first train = 60 km/h = (60,000 m/3600 s) m/s = 16.67 m/s.

Speed of the second train = 45 km/h = (45,000 m/3600 s) m/s = 12.50 m/s.

Relative speed = Speed of the first train - Speed of the second train = 16.67 m/s - 12.50 m/s = 4.17 m/s.

Distance = Length of the second train = 500 meters.

Using the formula:

Distance = Speed × Time

Time = Distance / Relative speed = 500 meters / 4.17 m/s = 120.05 seconds.

To convert the time from seconds to minutes, we divide by 60:

Time in minutes = 120.05 seconds / 60 = 2 minutes (approximately).

Therefore, the first train will cross the second train after approximately 2 minutes.

Last verified on 13-10-2026

Explanation

Explanation

Total Distance = 300 + 300 = 600 km

Total Time = 4 + 6 = 10 hours

Average Speed = Total Distance / Total Time

= 600 / 10 = 60 km/h

Last verified on 12-10-2026

Explanation

Total distance to cover = Train length + Platform length

= 150 + 250 = 400 m

Speed = 60 km/hr = 60 × 5/18 = 50/3 m/sec

Time = Distance / Speed

= 400 / (50/3)

= 400 × 3 / 50

= 24 seconds

Last verified on 12-10-2026

Explanation

6 clerks draft 24 letters in 3 hours.

Step 1: Find the work rate.

6 clerks draft $24 div 3 = 8$ letters per hour.

Step 2: Find the rate of 8 clerks.

8 clerks draft 32/3​ letters per hour.

Step 3: Calculate the time for 32 letters.

32/32/3 =3

Explanation

• Speed = 12 km/h
• Time = 15 minutes = 15/60 = 1/4 hour

Formula:

Distance = Speed x Time 

= 12 x 1/4

$$= 12 times frac{1}{4}$$ =3 km

Explanation

Average speed = Total distance / Total time

Time 1 = 60 / 40 = 1.5 h

Time 2 = 60 / 60 = 1 h

Total time = 2.5 h

Average = 120 / 2.5 = 48 km/h

Last verified on 06-10-2026

Explanation

. Starts facing North, moves 7 km North.  

2. Turns West, moves 2 km.  

3. Turns South, moves 4 km → Now he's (7 - 4) = 3 km North from start.  

4. Turns West again, moves another 2 km → Total 4 km West.

So, from the starting point, he's 3 km North and 4 km West.

Use Pythagoras theorem to find the distance from the start:

Distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km

Explanation

For objects moving in opposite directions, relative speed = sum of their speeds.

50 + 100 = 150 km/hour.

Last verified on 02-09-2026

Explanation

Step 1: Find time for each part

Time = Distance / Speed

Part 1: 36 km at 45 km/h = 36 / 45 = 0.8 hours = 48 minutes

Part 2: 24 km at 30 km/h = 24 / 30 = 0.8 hours = 48 minutes

Part 3: Wait = 12 minutes

Part 4: Return 60 km at 40 km/h = 60 / 40 = 1.5 hours = 90 minutes = 1 hour 30 minutes

Step 2: Add all times

48 minutes + 48 minutes + 12 minutes + 90 minutes = 198 minutes

198 minutes = 3 hours 18 minutes

Answer: 3 hours 18 minutes, being 48 + 48 + 12 minutes plus 1 hour 30 minutes.

Last verified on 11-09-2026