Explanation

When two objects are moving towards each other, their relative speed is the sum of their individual speeds.

• Speed of the first train = 60 km/h
• Speed of the second train = 40 km/h
• Distance between them = 150 km

The relative speed is:

$$60 , text{km/h} + 40 , text{km/h} = 100 , text{km/h}$$

Now, to find the time it takes for the trains to meet, use the formula:

$$text{Time} = frac{text{Distance}}{text{Relative Speed}}$$ $$$$Time=150 km100 km/h=1.5 hours=1 hour 30 minutestext{Time} = frac{150 , text{km}}{100 , text{km/h}} = 1.5 , text{hours} = 1 , text{hour} , 30 , text{minutes}Time=150km/100km​/h=1.5hours=1hour30minutes

Explanation

Explanation

Explanation

1. Next bus: The next bus leaves at 08:15 PM.
2. Previous bus: Since a bus leaves every 52 minutes, the previous bus left 52 minutes before 08:15 PM, which is at 07:23 PM.
3. Current time: The enquiry officer said the previous bus left 16 minutes ago. So, we add 16 minutes to 07:23 PM, which gives us 07:39 PM.

Therefore, the enquiry officer gave the information at 07:39 PM.

So the correct answer is (B) 07:39 PM.

Explanation

445 mm - 198 mm + 250 mm = ?

Step 1: 445 - 198 = 247 mm  

Step 2: 247 + 250 = 497 mm  

Convert to cm:  

497 mm = 49.7 cm  

Explanation

187 m - 95 m + 328 m = 420 m  

420 m = 420 × 100 = 42,000 cm

Explanation

Explanation

Explanation

Total distance:

• Length of the train: 99m
• Length of the station: 231m
• Total distance = Length of the train + Length of the station = 99m + 231m = 330m

Total time: 11 seconds

Speed:

• Speed = Distance / Time
• Speed = 330m / 11s = 30 m/s

Now, we need to convert m/s to km/h:

• 1 m/s = 3.6 km/h

So, 30 m/s = 30 * 3.6 = 108 km/h

Therefore, the speed of the train is 108 km/h.

Explanation

The relative speed of the two trains is the sum of their individual speeds, since they're moving in opposite directions: 62 km/h + 40 km/h = 102 km/h

Convert the relative speed from km/h to m/s: 102 km/h x (1000 m / 3600 s) = 28.33 m/s (approximately)

The time it takes for the trains to cross each other is given as 18 seconds.

The total distance covered by the trains during this time is the sum of their lengths. Let's call the length of the other train "x". Then, the total distance = 260 m + x

Since the relative speed is 28.33 m/s, the total distance can also be calculated as: Total distance = Relative speed x Time = 28.33 m/s x 18 s = 510 m

Equate the two expressions for total distance: 260 m + x = 510 m

Solve for x: x = 510 m - 260 m = 250 m