Husband and wife were jogging in the morning. To match every two steps of husband, wife required three steps...

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Husband and wife were jogging in the morning. To match every two steps of husband, wife required three steps. If Both of them start with the here right foot. After how many steps do their left foot be together?

posted Nov 26, 2015

Never.

Husband will have right foot only whenever there is a match with wife :)

@Salil Agrawal
Incorrect.

Husband: First 2 steps. Ends up on left foot.
Wife: First 3 steps. Ends up on right foot.

Husband: Second 2 steps. Ends up on left foot again. A total of 4 steps.
Wife: Second 3 steps. Ends up on left foot. A total of 6 steps.

Thus, it always takes a total of 4 steps for the husband and 6 steps for the wife to match their left feet together.

If the husband starts with right, he will always end up with the left foot every 2 steps.
If the husband starts with left, he will always end up with the right foot every 2 steps.

The wife is a special case. The first 3 steps ends up with the right foot. The next 3 steps ends up with the left foot and the next 3 ends up with the right foot again and so on.

After every fourth step of the husband, his left leg will match wife's left

Never.

Explanation

After every three steps:
Husband, Wife
Right, Right
Left, Right
Right, Right
Left, Right
Right, Right
And so on......

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