How to do? Help!?

Question

(a) 15 workers take 6 days to assemble 3 cars. Find the number of workers needed to assemble 5 cars in 2 days.

Please explain and show your workings..Thanks...

Answer 1

15 workers can assemble 3 cars in 6 days.

This means 15 workers can assemble 1 car in 2 days.

Since the problem asks how many are neede to build 5 cars in 2 days and we know it takes 15 workers per car to do it in two days, 15 x 5 = 75 workers.

Answer 2

Let x = no. of workers to assemble 5 cars in 2 days.

(3 / [15 * 6]) * 2 * x = 5
1/30 * 2x = 5
1/15x = 5
x = 75

Answer: 75 workers

Proof:
no. of workers * speed of 1 worker per day * no. of days
= 75 * (3 / [15 * 6]) * 2
= 75 * 1/30 * 2
= 5