Question

If 450 workers can dig a canal 6 km long, 4 m wide and 2 m deep in 30 days, what length of a canal 5 m wide and 2.5 m deep can be dug by 500 workers, all working at the same rate

Answer 1

Answer:

10.42 cm

Step-by-step explanation:

This is a question on ratio rates and proportion.

To get the length you first arrange the values that you have

Workers  length  Width  depth   days

450          6.          4.          2.        30

500           ?           5       2.5.        30

This question is on direct proportion because an increase in one variable cause an increase in the other variable

Therefore first you take

500 × 6 ÷450 = 6.667 cm

An increase in length causes an increase in the width therefore

6.66 × 5 ÷4 = 8.334 cm

8.334 × 2.5 ÷2 =10.42cm