Question

Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more complete revolutions will Mercury make in 1000 days?

Answer 1

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Explanation:

Earth takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is
`(1)/(365)\frac{\text{rev}}{\text{day}}`

so, in a 1000 days how many revolutions will Earth have made?

`(1)/(365)\frac{\text{rev}}{\text{day}}*(1000\,\text{day})`

see that the 'day's cancel out. Simply multiply the two numbers!

`2.739\text{rev}`

Next, do the same for Mercury

we can say that the rotational speed of Mercury is
`(1)/(88)\frac{\text{rev}}{\text{day}}`

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

`(1)/(88)\frac{\text{rev}}{\text{day}}*(1000\,\text{day})`

multiplying by 1/88 by 1000 yields:

`11.363\text{rev}`

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

`11.363\text{rev} - 2.739\text{rev}`

`8.624\text{rev}`

In a 1000 days Mercury will make 8.624 more revolutions than Earth!