At a speed of 4.5 m / s, rewinding of the tape of the tape recorder lasts 1 minute

At a speed of 4.5 m / s, rewinding of the tape of the tape recorder lasts 1 minute. How long will it take to record on this tape if its speed is 19.05 cm / s?

Data: V1 (tape rewinding speed) = 4.5 m / s; t1 (rewind duration) = 1 min (in SI t1 = 60 s); V2 (recording speed) = 19.05 cm / s (in SI system V2 = 0.1905 m / s).

To determine the duration of the recording on the taken tape, we apply the equality: V1 * t1 = L (tape length of the tape recorder) = V2 * t2, whence t2 = V1 * t1 / V2.

Calculation: t2 = 4.5 * 60 / 0.1905 = 1417 s or 23 min 37 s.

Answer: Recording on the taken tape will last 23 minutes 37 seconds.