Mr. tan makes monthly visits to his parents in Malacca a distance of 240 km from Singapore. he finds that if he increases the average speed by 10km/h, he could save a total of 20min for the journey. find the original speed of Mr. tan.

Question

Mr. tan makes monthly visits to his parents in Malacca a distance of 240 km from Singapore. he finds that if he increases the average speed by 10km/h, he could save a total of 20min for the journey. find the original speed of Mr. tan.

Answer 1

I have the same question

Answer 2

Well the answer is 80km/hr

Answer 3

Mr. Salazar makes monthly visits to his parents in City M, a distance of 240 km from City N. He finds that if he increases the average speed by 10 km per hour, he can save a total of 20 minutes for the journey. Find the original speed of Mr. Salazar.

Answer 4

To find the original speed of Mr. Tan, we can use the formula:

Speed = Distance / Time

Let's assume Mr. Tan's original speed is "x" km/h. The time taken for the journey at this speed would be:

Time = Distance / Speed
Time = 240 km / x km/h

Now, let's consider the increased speed. Mr. Tan increases his speed by 10 km/h, so his new speed would be "(x + 10)" km/h. With this increased speed, he saves a total of 20 minutes for the journey. We need to convert these minutes to hours for our calculations:

20 minutes = 20 / 60 = 1/3 hours

The time taken for the journey at the increased speed would be:

Time = Distance / Speed
Time = 240 km / (x + 10) km/h

According to the given information, the difference in time between the two speeds is 1/3 hours, so we can set up the equation:

240 km / x km/h - 240 km / (x + 10) km/h = 1/3 hours

Now, let's solve this equation to find the original speed (x) of Mr. Tan.

First, let's simplify the equation by finding the common denominator:

[240(x + 10) - 240x] / x(x + 10) = 1/3

Simplifying further:

[240x + 2400 - 240x] / x(x + 10) = 1/3
2400 / x(x + 10) = 1/3

Cross-multiplying:

3 * 2400 = x(x + 10)
7200 = x^2 + 10x

Rearranging the equation:

x^2 + 10x - 7200 = 0

Now, we can solve this quadratic equation. Using factoring or the quadratic formula, we find that:

(x - 80)(x + 90) = 0

This gives two possible solutions: x = 80 and x = -90.

Since we are considering the speed of Mr. Tan, the solution x = -90 is not valid in this context. Therefore, the original speed of Mr. Tan is 80 km/h.