3110
Two gears which work in tandem have 16 and 20 teeth respectively. If the former turns 15 times in 8 seconds,
how many turns will the latter take in one-third of a minute?
Answers
Given :- Two gears which work in tandem have 16 and 20 teeth respectively if the former turns 15 time in 8 second how many turns will the latter take in one third of a minute ?
Solution :
Let us assume that, the later takes x turns in (1/3)rd of a minute.
Than,
Teeth Time in sec. Turns
16 8 15
20 20(1/3 of 1 min.) x
we know that,
- Turn ∝ Time.
- Turn ∝ (1/Teeth).
Applying chain rule now, we get,
→ (15/x) = (20/16) * (8/20)
→ (15/x) = (1/2)
→ x = 15 * 2
→ x = 30 turns. (Ans.)
Hence the later takes 30 turns in 1/3rd of a minute.
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