Question

A group of scouts helped rangers clear a trail after an ice storm. They cleared tree branches from 2 5/6 miles of trail the first day. On the second day, they cleared 3 1/4 miles of trail. If the length of the trail is 8 3/4 miles, how many miles of trail do they have left to clear?

Answer 1

Answer:

The remaining number of miles to trail will be $3\frac{3}{4}$ miles.

Step-by-step explanation:

A group of scouts cleared tree branches from $2\frac{5}{6}$ i.e. $\frac{17}{6}$ miles of trail the first day. On the second day, they cleared $3\frac{1}{4}$ i.e. $\frac{13}{4}$ miles of trail.

Therefore, in two days they have cleared $(\frac{17}{6} + \frac{13}{4}) = \frac{17 \times 2 + 13 \times 3}{12} = 5$ miles.

If the length of the trail is $8\frac{3}{4}$ i.e. $\frac{35}{4}$ miles, then the remaining number of miles to trail will be $\frac{35}{4} - 5 = \frac{15}{4} = 3\frac{3}{4}$ miles. (Answer)