Question

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

A table showing Rate in part per hour, Time in hours, and Part of Bins Emptied. The first row shows First Truck and has, StartFraction 1 Over 5 EndFraction, t, and StartFraction 1 Over 5 EndFraction times t. The second row shows Second Truck and has, StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction times t.

When the two crews start working together, what part of all the garbage bins will the first garbage truck empty?

0.6
0.5
0.7
0.4

Answer 1

First truck's share = its rate ÷ total rate = (1/5) / (1/5 + 1/8) = (1/5) / (13/40) = 8/13 ≈ 0.615.

Of the given choices, 0.6 is the closest.