Question

Can someone help real quick?

A motor spins 310 times in 62 s. The number of spins varies directly with the length of time the motor is running.

How long will it take the motor to spin 495 times?

_____s

Answer 1

so 310:62
treat as fraction
310/62
simplify by finding factors
310:2 times 5 times 31
62:2 times 31

we see a 2 times 32 in both so we divide top and bottom by (2 times 31) or 62
5/1=5

5 spins per second

5:1 is ratio

so if 495 spins then
5/1=495/x
multiply both sdies by x
5x=495
divide boht sides by 5
x=99

the answer is 99 seconds