Explanation

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 calculate speed in km/h:

1. Convert the time to hours:
   $20\text{ minutes}=\frac{20}{60}\text{ hours}=\frac{1}{3}\text{ hours}$

2. Use the formula for speed:
   $text{Speed} = frac{text{Distance}}{text{Time}} = frac{16}{frac{1}{3}} = 16 times 3 = 48 , text{km/h}$
   

So, the speed of the train is 48 km/h.

Explanation

 There are 3 feet in 1 yard. 

Explanation

The area of a rectangle is calculated by multiplying the length by the width:

Area=Length×Width

=7cm×2cm

=14 cm² 

Explanation

1 meter = 1.0936 yards (standard conversion value).

Explanation

To find the average speed:

Total distance = 120 km * 2 (to and fro) = 240 km

Time taken to go = 120 km / 60 km/h = 2 hours

Time taken to return = 120 km / 40 km/h = 3 hours

Total time = 2 + 3 = 5 hours

Average speed = Total distance / Total time

= 240 km / 5 hours

= 48 km/h

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

First, find the speed of the train past the telegraph post:

Speed = Distance / Time = (Length of train) / 8 seconds

Since the length of the train is not given, let's call it "x". Then, Speed = x / 8

Now, find the speed of the train past the bridge:

Speed = Distance / Time = (Length of train + Length of bridge) / 20 seconds

= (x + 264) / 20

Since the speed of the train is the same in both cases, set up an equation:

x / 8 = (x + 264) / 20

Cross-multiply and solve for x:

20x = 8x + 2112

12x = 2112

x = 176

So, the length of the train is 176 meters.

Now, find the speed of the train:

Speed = x / 8 = 176 / 8 = 22 meters/second

Convert the speed to km/hr:

Speed = 22 m/s x (3600 s/h) / (1000 m/km) = 79.2 km/hr

The correct answer is:

79.2 km/hr

Explanation

The hurdles used in the men's 110-meter hurdles race are set at a height of 1.067 meters (42 inches).