Explanation

We are told:

• Arrival time = 15:06 (i.e., 3:06 PM)

• Journey duration = 5¼ hours = 5 hours 15 minutes

Step 1: Subtract 5 hours 15 minutes from 15:06

Start with 15:06

• Subtract 5 hours → 10:06

• Subtract 15 minutes → 9:51

Explanation

The car travels 30 km in the first hour and 32 km in the second hour, total distance = 30 + 32 = 62 km.

Total time = 2 hours, so average speed = 62 ÷ 2 = 31 km/h.

Explanation

The hands of a clock coincide 22 times in a 24-hour day.

• The hour and minute hands coincide once every 65 minutes (60 minutes + 5 minutes).
• Since there are 24 hours in a day, the hands coincide 24 x (24/65) = 22 times in a 24-hour day.

Explanation

To find speed, convert the time to hours and distance to kilometers:

Time = 2 minutes 30 seconds = 2.5 minutes = 2.5/60 = 1/24 hours

Distance = 750 meters = 0.75 kilometers

Speed = Distance / Time = 0.75 / (1/24) = 0.75 x 24 = 18 km/hr

Explanation

20 men can construct a building in 40 days.

Total work = 20 men × 40 days = 800 man-days.

Time = Total work / Number of men = 800 man-days / 10 men = 80 days.

Explanation

A car travels 120 km in 2 hours

Then the distance traveled by the car in 1 hour = 120/2km 

=60km

Then the distance travelled by the car in 3 hours= 3*60km

=180km

Hence the car travels 180km in 3 hours

Explanation

10 men complete a job in 14 days, so the total work equals 10 men × 14 days.

With 4 men, the work remains the same, but takes longer.

Multiply the original duration by the ratio of men: 14 days × (10/4) = 35 days.

Therefore, 4 men take 35 days to finish the job at the same rate.

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.

Explanation

Total time = 1 hour = 60 minutes

Commercials duration = 20 * 30 seconds

= 600 seconds

= 10 minutes

Percentage of hour taken by commercials = (10/60) * 100

= 16.67%

Nearest percent = 17%

Explanation

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