Explanation

Number of tiles on one side of the room = 21 tiles.

Total tiles = B21×4= 84.

Since 4 tiles at each corner are shared by both rows, subtract these: 84−4= 80 tiles.

Explanation

Explanation

'

Required distance =AF

                              =30+15

                              =45m.

From the above diagram, F is in the East direction from A.

Hence the required answer is '45m East'.

Explanation

Let A's current age be x and B's current age be y.

Since A is twice as old as B, x = 2y.

Three years ago, A's age was x - 3 and B's age was y - 3.

Since A was three times as old as B, x - 3 = 3(y - 3).

Solving the equations, we get x = 12.

So, the correct answer is 12 years.

Explanation

A and B can do the work in 12 days, so their combined rate of work is 1/12 of the work per day.

B and C can do the work in 15 days, so their combined rate of work is 1/15 of the work per day.

C and A can do the work in 20 days, so their combined rate of work is 1/20 of the work per day.

Now, let's add the three equations and simplify:

2(A + B + C) = 1/12 + 1/15 + 1/20

Combine like terms:

2(A + B + C) = (10 + 8 + 6) / 120

Simplify the fraction:

2(A + B + C) = 24 / 120

Divide both sides by 2:

A + B + C = 12 / 120

Simplify the fraction:

A + B + C = 1/10

So, A, B, and C together can complete 1/10 of the work in one day.

To find the number of days taken by A, B, and C together to finish the work, we take the reciprocal:

Number of days = 1 / (1/10) = 10 days

Explanation

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Let the number be x

1/4 of the number = 1/4(x) =x/4

1/3 of the number = 1/3(x) =x/3

1/4 of a number subtracted from 1/3 of the number gives 12.

x/3-x/4 =12

x/3×4/4 - x/4×3/3 =12

4x/12 - 3x/12 =12

(4x-3x)/12=12

4x-3x=12×12

Explanation

To find the time taken, subtract the departure time from the arrival time.

Departure time: 22:55

Arrival time: 06:05 (next day)

First, convert the times to a 24-hour clock:

Departure time: 22:55

Arrival time: 06:05

Subtract the departure time from the arrival time:

06:05 - 22:55 = 7 hours 10 minutes

Therefore, the time taken for the journey is 7 hours 10 minutes.

Explanation

Explanation

Let the height of the building be x meters.

Less lengthy shadow, Less in the height (Direct Proportion)

∴ 40.25 : 28.75 :: 17.5 : x ⇔ 40.25 × x = 28.75 × 17.5

Explanation