I walk a certain distance and ride back taking a total time of 37 minu...
Speed = distance/time
Let the distance be x km. Then,
(Time taken to walk x km) + (Time taken to ride x km) = 37 min.
⇒ (Time taken to walk 2x km) + (Time taken to ride 2x km) = 74 min.
Given, time taken to walk 2x km = 55 min.
Time taken to ride 2x km = (74 - 55) min = 19 min
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I walk a certain distance and ride back taking a total time of 37 minu...
Let's assume the distance of the walk is 'x' and the time taken to walk one way is 'w' minutes.
Since the total time taken to walk one way and ride back is 37 minutes, we can write the equation:
w + r = 37
where 'r' represents the time taken to ride one way.
According to the given information, the time taken to walk both ways is 55 minutes. So, we can write another equation:
2w = 55
Solving these two equations simultaneously will give us the value of 'w' and 'r'.
Solving the equations:
1. w + r = 37
2. 2w = 55
From equation 2, we can find the value of 'w':
2w = 55
w = 55/2
w = 27.5 minutes
Now that we have the value of 'w', we can substitute it back into equation 1 to find the value of 'r':
27.5 + r = 37
r = 37 - 27.5
r = 9.5 minutes
Thus, it would take 27.5 minutes to walk one way and 9.5 minutes to ride one way.
Calculating the total time to ride both ways:
To find the total time to ride both ways, we can simply multiply the time taken to ride one way by 2:
Total time to ride both ways = 2 * r
Total time to ride both ways = 2 * 9.5
Total time to ride both ways = 19 minutes
Therefore, the correct answer is option A) 19 minutes.