I walk a sure separation and ride back setting aside an aggregate time of 37…

2025

I walk a sure separation and ride back setting aside an aggregate time of 37 minutes. I could walk both routes in 55 minutes. To what extent would it take me to ride both ways?

  1. A.

    18 MIN

  2. B.

    19 MIN

  3. C.

    21 MIN

  4. D.

    32 MIN

Attempted by 1 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

To find the time taken to ride both ways, let W be the time taken to walk the distance and R be the time taken to ride the distance.

  1. Set up the equations based on the problem:

    • "I walk a... separation and ride back... 37 minutes": W + R = 37

    • "I could walk both routes in 55 minutes": W + W = 55 (or 2W = 55)

  2. Solve for W and R:

    • From the second equation: 2W = 55, so W = 27.5 minutes.

    • Substitute W into the first equation: 27.5 + R = 37

    • R = 37 - 27.5 = 9.5 minutes.

  3. Calculate the time to ride both ways:

    • Time for both ways riding = R + R = 2R

    • 2 * 9.5 = 19 minutes.

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