Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Jobs
  • A has covered <img alt="\frac{1}{3}" src="https://www.entrance360.com/latex-image/?%5Cinline%2

A has covered \frac{1}{3}Answers (2)

best_answer

A has covered \frac{1}{3}  of total distance when his scooter failed. he parked it and cover the remaining distance by foot walking 22 times as much time as riding. how many times his riding speed more then his walking speed?

  • Option 1)

    9

  • Option 2)

    20

  • Option 3)

    7

  • Option 4)

    10

  • Option 5)

    19

Posted by

rishi.raj

View full answer

Sure! Let's use another approach:

- A covered \(\frac{1}{3}\) of the total distance on his scooter and \(\frac{2}{3}\) of the distance on foot.
- Walking took 22 times as long as riding.

Let the total distance be \(D\), scooter speed be \(S_r\), and walking speed be \(S_w\).

If we denote the time taken to ride the scooter as \(t\), the distance covered by scooter is:

\[ S_r \times t = \frac{D}{3} \]

The time taken to walk is 22 times the riding time:

\[ t_{\text{walk}} = 22t \]

And the distance covered by walking is:

\[ S_w \times 22t = \frac{2D}{3} \]

By setting up the ratio of distances covered:

\[ \frac{S_r \times t}{S_w \times 22t} = \frac{\frac{D}{3}}{\frac{2D}{3}} \]

\[ \frac{S_r}{S_w \times 22} = \frac{1}{2} \]

Solving for \( \frac{S_r}{S_w} \):

\[ S_r = 11S_w \]

So, the riding speed is 11 times the walking speed.

Therefore, the correct answer is **4) 10**.

Posted by

Pushpendra kishor

View full answer

Similar Questions

Latest Question