A 18 - person road crew is scheduled to finish repairing a highway in 10 days. On the morning of the fifth day, several workers of the crew were moved to another project. How many workers were removed from the crew, if the rest of the crew finished the remaining repairs in 12 days?

Question

Alison Lyons

Mathematics

18 May, 05:08

A 18 - person road crew is scheduled to finish repairing a highway in 10 days. On the morning of the fifth day, several workers of the crew were moved to another project. How many workers were removed from the crew, if the rest of the crew finished the remaining repairs in 12 days?

+4

Answers (1)

Know the Answer?

Mollie Macdonald · Answer 1

9 workers finished the repairs, therefore 9 members of the original crew were removed.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Original crew scheduled to finish repairing a highway = 18 person

Number of days remaining to finish the work = 10 - 4 = 6 days

Number of days that the rest of the crew finished the repairs = 12 days

2. How many workers were removed from the crew?

We will use Inverse Rule of Three to answer this question because the less workers the crew has the more time it will take them to finish the repairs, as follows:

Workers Days

18 6

x 12

12x = 18 * 6 (Inverse Rule)

12x = 108

x = 108/12

x = 9

9 workers finished the repairs, therefore 9 members of the original crew were removed.