Question : Sameer walks a certain distance and rides back taking a total time of 40 minutes. He could walk both ways in 70 minutes. How long would it take for him to ride both ways?
Option 1: 7 minutes
Option 2: 5 minutes
Option 3: 10 minutes
Option 4: 15 minutes
Correct Answer: 10 minutes
Solution :
Let the time it takes Sameer to walk one way as W and the time it takes him to ride one way as R.
Given that he walks one way and rides back in 40 minutes.
⇒ W + R = 40
Given that he could walk both ways in 70 minutes.
⇒ 2W = 70
⇒ W = 35
Substituting W = 35 into the first equation gives:
⇒ 35 + R = 40
⇒ R = 5
Therefore, it would take Sameer 5 minutes to ride one way.
So, it would take him 2R = 2 × 5 = 10 minutes to ride both ways.
Hence, the correct answer is 10 minutes.
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