Two small insects, which are $x$ metres apart, take $u$ minutes to pass each other when they are flying towards each other, and $v$ minutes to meet each other when they are flying in the same…

Question

Two small insects, which are $x$ metres apart, take $u$ minutes to pass each other when they are flying towards each other, and $v$ minutes to meet each other when they are flying in the same direction. Then, the ratio of the speed of the slower insect to that of the faster insect is

Accepted Answer

C - $\dfrac{v-u}{v+u}$. a+b = x/u and a-b = x/v (a faster). So b/a = (1/u - 1/v)/(1/u + 1/v) = (v-u)/(v+u).

Answer

A - $\dfrac{u}{v}$

Answer

B - $\dfrac{u}{v-u}$

Answer

D - $\dfrac{u}{v+u}$

Two small insects, which are \(x\) metres apart, take \(u\) minutes to pass each other when they are flying towards each other, and \(v\) minutes to meet each other when they are flying in the same…

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