Explanation

Explanation

First, find the price of one mango: Rs. 1517.25 ÷ 357 mangoes = Rs. 4.25 per mango (approximately)

Since you want to know the price of 49 dozen mangoes, convert 49 dozen to total mangoes: 49 dozen x 12 mangoes/dozen = 588 mangoes

Now, multiply the total mangoes by the price of one mango: 588 mangoes x Rs. 4.25/mango = Rs. 2500

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

Explanation

A is 4 times as fast as B, so A's rate of work is 4 times B's rate of work.

Since A finishes the work in 45 days less than B, let's assume B takes x days to finish the work. Then A takes x - 45 days to finish the work.

Since A is 4 times as fast as B, A's rate of work is 4 times B's rate of work. So, A's time to finish the work is 1/4 of B's time.

We can set up an equation based on the above: x - 45 = (1/4)x

Solve for x: x - 45 = (1/4)x --> 4x - 180 = x --> 3x = 180 --> x = 60

So B takes 60 days to finish the work, and A takes 60 - 45 = 15 days to finish the work.

Since A and B work together, their combined rate of work is the sum of their individual rates. Let's find their individual rates.

B's rate = 1/60 (work done per day)

 A's rate = 1/15 (work done per day)

Combined rate = (1/60 + 1/15) = (1/60 + 4/60) = 5/60 = 1/12

So A and B together can complete the work in 12 days.

Explanation

Ali earns Rs. 7500 in 2 weeks.

Since there are 6 working days in a week, Ali works a total of 2 weeks x 6 days/week = 12 days.

Ali's daily earnings can be calculated by dividing his total earnings by the number of days he works: Rs. 7500 ÷ 12 days = Rs. 625 per day.

Since you asked for Ali's earnings in 2 days, we multiply his daily earnings by 2: Rs. 625 per day x 2 days = Rs. 1250.

Explanation

• Rotation speed: 15° per hour.
• Rotation: Once every 24 hours.
• Direction: West to East.
• Equator speed: 1,670 km/h.
• Revolution around Sun: 365.24 days.
• Rotation causes day and night.

Explanation

Since 12 pumps can empty the tank in 20 minutes, the rate at which they empty the tank is 1 tank / 20 minutes.

With 2 pumps out of order, we have 12 - 2 = 10 pumps left. Since the rate is directly proportional to the number of pumps, the rate of the remaining 10 pumps is:

10/12 × (1 tank / 20 minutes) = 1 tank / 24 minutes

So, the remaining 10 pumps will take 24 minutes to empty the tank.

Explanation

An illative conjunction expresses an inference or conclusion.

Such as "so," "therefore," or "thus," connecting ideas by indicating a logical result.

Explanation

"Exposure" fits here as it suggests a deep familiarity and understanding of the subject.

It helped minimize students' doubts.

Explanation

The correct sentence would be: "What brought about this quarrel?"

The phrase "brought about" is an idiomatic expression that means "caused" or "led to".