Math, asked by verma1371998swati, 4 months ago

two gears which work in tandem have 16 and 20 teeth respectively if the former turns 15 time in 8 second how many turns wi the latter take in one third of a minute

Answers

Answered by RvChaudharY50
10

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 wi 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 (1/3)rd of a minute.

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