A mile with no wind

EasyBrainteasers~4m

A cyclist covers $1$ mile in $3$ minutes with the wind at his back, and $1$ mile in $4$ minutes riding into the wind. How long (in minutes) would $1$ mile take with no wind?

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Work in speeds: $v+w=1/3$ and $v-w=1/4$ (miles per minute).
Add to get $v$ ; the time is $1/v$ . Don't average the times.

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3.4286 (± 0.01)

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Asked at: Optiver, IMC

A mile with no wind

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