This question is not properly written
Complete Question
When the two crews start working together, what part of all
the garbage bins will the first garbage truck empty?
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.
Options
• 0.6
• 0.5
• 0.7
Answer:
0.6
Explanation:
Let us say that the total hours worked by both trucks = t hours
Number of hours worked by first truck = 5 hours
Number of hours worked by second truck = 8 hours
Let 1 = total number of bins.
For the 1st truck the rate at which work was carried out is
(1 ) ÷ (5 ) = 1/5
For the 1st truck the rate at which work was carried out is
( 1 ) ÷ (8 ) = 1/8
Then,
(1/5 + 1/8) × t =1
(1/5 + 1/8) × t= 1
(13/40)t = 1
t = 1÷ 13/40
t = 1× 40/13
t = 40/13 hours.
Hence, the total hours worked by both trucks = 40/13 hours
the part of all
the garbage bins that the first garbage truck will empty is calculated as:
1/5 × 40/13 hr
1/5 × 40/13
= 0.6153846154
Approximately = 0.6
Therefore, when the two crews start working together, the part of all
the garbage bins that the first garbage truck will empty is 0.6 of the total work done.