Question

A construction crew can dig a pit at a rate of 19/14 meters per hour. How deep can they dig in 6 hours?
57/7 meters
42/7 meters
36/7 meters
19/7 meters

Answer 1

To find out how deep the construction crew can dig in 6 hours, you can multiply the rate at which they dig by the amount of time they work.

The rate of digging is given as \( \frac{19}{14} \) meters per hour.

The time worked is 6 hours.

Now, we can calculate the total depth dug:

\[
\text{Total depth} = \text{Rate} \times \text{Time} = \frac{19}{14} \text{ meters/hour} \times 6 \text{ hours}
\]

Calculating this gives:

\[
\text{Total depth} = \frac{19 \times 6}{14} = \frac{114}{14}
\]

Now we simplify \( \frac{114}{14} \):

\[
\frac{114}{14} = \frac{57}{7} \text{ meters}
\]

Thus, the depth the construction crew can dig in 6 hours is \( \frac{57}{7} \) meters.

The answer is \( \frac{57}{7} \) meters.