The problem can be solved using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Step 1: Calculate the distance Suresh's car has traveled.
Suresh's car travels at a speed of 32 km/h. In 45 minutes, the car would have traveled a distance of (32 km/h * 45/60 h) = 24 km.

Step 2: Calculate the distance Ramesh's car has traveled.
We know that the straight line distance between the two cars after 45 minutes is 51 km. Using the Pythagorean theorem, we can calculate the distance Ramesh's car has traveled as follows:
Let's denote the distance Ramesh's car has traveled as 'd'. Then we have:
d² + 24² = 51²
Solving this equation for 'd' gives:
d = sqrt(51² - 24²) = 45 km.

Step 3: Calculate the speed of Ramesh's car.
Ramesh's car crosses a road-side mango tree after driving for exactly 7 minutes. Therefore, the speed of Ramesh's car is (45 km / 45 min) * 60 min/h = 60 km/h.

Step 4: Calculate the distance between Suresh's car and the mango tree.
The distance between Suresh's car and the mango tree is the distance Ramesh's car has traveled in 45 minutes minus the distance it has traveled in 7 minutes. This is because the mango tree is located 7 minutes away from the starting point in the direction Ramesh's car is traveling.
Therefore, the distance between Suresh's car and the mango tree is (45 km - (60 km/h * 7/60 h)) = 45 km - 7 km = 38 km.

So, the distance between Suresh's car and the mango tree after 45 minutes from the starting time is 38 km.

Question

The problem can be solved using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Step 1: Calculate the distance Suresh's car has traveled.
Suresh's car travels at a speed of 32 km/h. In 45 minutes, the car would have traveled a distance of (32 km/h * 45/60 h) = 24 km.

Step 2: Calculate the distance Ramesh's car has traveled.
We know that the straight line distance between the two cars after 45 minutes is 51 km. Using the Pythagorean theorem, we can calculate the distance Ramesh's car has traveled as follows:
Let's denote the distance Ramesh's car has traveled as 'd'. Then we have:
d² + 24² = 51²
Solving this equation for 'd' gives:
d = sqrt(51² - 24²) = 45 km.

Step 3: Calculate the speed of Ramesh's car.
Ramesh's car crosses a road-side mango tree after driving for exactly 7 minutes. Therefore, the speed of Ramesh's car is (45 km / 45 min) * 60 min/h = 60 km/h.

Step 4: Calculate the distance between Suresh's car and the mango tree.
The distance between Suresh's car and the mango tree is the distance Ramesh's car has traveled in 45 minutes minus the distance it has traveled in 7 minutes. This is because the mango tree is located 7 minutes away from the starting point in the direction Ramesh's car is traveling.
Therefore, the distance between Suresh's car and the mango tree is (45 km - (60 km/h * 7/60 h)) = 45 km - 7 km = 38 km.

So, the distance between Suresh's car and the mango tree after 45 minutes from the starting time is 38 km.

Knowee AI · Accepted Answer

The problem can be solved using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Step 1: Calculate the distance Suresh's car has traveled.
Suresh's car travels at a speed of 32 km/h. In 45 minutes, the car would have traveled a distance of (32 km/h * 45/60 h) = 24 km.

Step 2: Calculate the distance Ramesh's car has traveled.
We know that the straight line distance between the two cars after 45 minutes is 51 km. Using the Pythagorean theorem, we can calculate the distance Ramesh's car has traveled as follows:
Let's denote the distance Ramesh's car has traveled as 'd'. Then we have:
d² + 24² = 51²
Solving this equation for 'd' gives:
d = sqrt(51² - 24²) = 45 km.

Step 3: Calculate the speed of Ramesh's car.
Ramesh's car crosses a road-side mango tree after driving for exactly 7 minutes. Therefore, the speed of Ramesh's car is (45 km / 45 min) * 60 min/h = 60 km/h.

Step 4: Calculate the distance between Suresh's car and the mango tree.
The distance between Suresh's car and the mango tree is the distance Ramesh's car has traveled in 45 minutes minus the distance it has traveled in 7 minutes. This is because the mango tree is located 7 minutes away from the starting point in the direction Ramesh's car is traveling.
Therefore, the distance between Suresh's car and the mango tree is (45 km - (60 km/h * 7/60 h)) = 45 km - 7 km = 38 km.

So, the distance between Suresh's car and the mango tree after 45 minutes from the starting time is 38 km.

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