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?
Answer: B. 19 MIN — Step-by-Step SolutionTo 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. Set…
- A.
18 MIN
- B.
19 MIN
- C.
21 MIN
- D.
32 MIN
Attempted by 2 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.
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)
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.
Calculate the time to ride both ways:
Time for both ways riding = R + R = 2R
2 * 9.5 = 19 minutes.