Explanation

When the trains move in opposite directions, their relative speed is the sum of their individual speeds:

60 km/h + 40 km/h = 100 km/h

To convert this to meters per second, divide by 3600 (since there are 3600 seconds in an hour):

100 km/h ÷ 3600 = 27.78 m/s (approximately)

The total distance covered by the trains as they cross each other is the sum of their lengths:

140 m + 160 m = 300 m

Time = Distance ÷ Relative Speed

Time = 300 m ÷ 27.78 m/s ≈ 10.8 s

Explanation

To find the duration of the train journey, subtract the start time from the arrival time:

Arrival time: 5:23 p.m.

Start time: 9:32 a.m.

Convert both times to a 24-hour clock:

Arrival time: 17:23 (5:23 p.m.)

Start time: 09:32 (9:32 a.m.)

Subtract the start time from the arrival time:

17:23 - 09:32 = 7 hours 51 minutes

Therefore, the train journey took 7 hours and 51 minutes.

Explanation

To find out what time Aftab Laghari leaves Gul Khan's house to reach the office, we need to add up the time it takes for each leg of the journey.

Aftab leaves his house at 20 minutes to seven, which is 6:40 AM.

Then, he reaches Gul Khan's house in another 15 minutes.

So, 6:40 AM + 15 minutes = 6:55 AM.

After spending some time at Gul Khan's house, Aftab leaves for the office, which takes another 35 minutes. Adding this to 6:55 AM:

6:55 AM + 35 minutes = 7:30 AM.

So, Aftab Laghari leaves Gul Khan's house at 7:30 AM to reach the office.

Explanation

To find when the bells will toll together again, we need to find the least common multiple (LCM) of the time intervals between their tolls.

The time intervals between their tolls are: 8 minutes, 15 minutes, and 24 minutes.

The LCM of 8, 15, and 24 is 120.

So, the bells will toll together again after 120 minutes, which is 2 hours.

If they tolled together at 5:00 PM, then they will toll together again at 7:00 PM.

Explanation

To find the area of a section with a central angle of 60° and a radius of 4.2 cm, we can use the formula for the area of a sector of a circle:

Area of sector = (θ/360) * π * r^2

Where:

θ is the central angle in degrees

π is approximately 22/7

r is the radius of the circle

Given:

θ = 60°

π ≈ 22/7

r = 4.2 cm

Substituting the values into the formula:

Area of sector = (60/360) * (22/7) * (4.2)^2

= (1/6) * (22/7) * 17.64

≈ (1/6) * 22 * 2.52

≈ (11/3) * 2.52

≈ 9.24 cm²

Therefore, the area of the sector is approximately 9.24 square centimeters.

Explanation

The angle between the hour hand and the minute hand at 9:35 PM is 77.5 degrees.

Explanation

If you were born in 1945 and it's now 1965, you can calculate your age by subtracting your birth year from the current year:

Age = Current Year - Birth Year

Age = 1965 - 1945

Age = 20

So, if you were born in 1945, you would be 20 years old in 1965.

Explanation

Explanation

Explanation

To find the range (d) of a TV transmitter antenna, we use the line-of-sight formula:

d ≈ √(2 × h × R)  

Where:  

- d = distance to the horizon in kilometers  

- h = height of the antenna in kilometers  

- R = radius of Earth ≈ 6371 km  

Convert height:  

h = 100 m = 0.1 km  

Now plug in:  

d ≈ √(2 × 0.1 × 6371) ≈ √1274.2 ≈ 35.7 km  

So, the range is approximately 36 km