A road construction team is going to build a section of expressway. Team a will finish it in 100 days, and team B will finish it in 150 days. Now the two teams are working together. During this period, team a has a rest for 8 days, while team B has a rest After that, I had a 13 day rest (two teams can't rest at the same time). How many days did it take from construction to completion Don't solve the equation

A road construction team is going to build a section of expressway. Team a will finish it in 100 days, and team B will finish it in 150 days. Now the two teams are working together. During this period, team a has a rest for 8 days, while team B has a rest After that, I had a 13 day rest (two teams can't rest at the same time). How many days did it take from construction to completion Don't solve the equation

Team a's work delay = 8 / 100
Team B's work delay = 13 / 150
Total quantity = 1 (set as overall "1")
(1 + 8 / 100 + 13 / 150) / (1 / 100 + 1 / 150) = 70 days
A: it took 70 days from commencement to completion

A construction team is going to build a section of expressway. Team a will finish it in 100 days, and team B will finish it in 150 days. Now team a has eight days off during the two teams and repair (two teams can't rest at the same time). How much time does it take from construction to completion?

1 - (1 / 100 * 8) / (1 / 100 + 1 / 150) + 8 = (1-0.08) / 0.016667 + 8 = 63.199 days
That is to say, let a repair for 8 days first, so that there is an 8-day construction period, and then the two teams work together. A's ability is 1 divided by 100, which means 0.01 per day, B's ability is 1 divided by 150, which means 0.00667 per day. That is the sum of 1 minus 8 days' road construction achievement 0.08, which is divided by the daily construction quantity of the two teams, which means 55, and 8 plus 63

To build a highway, team a completed it in 40 days and team B completed it in 24 days. Now the two teams start work from both ends at the same time. As a result, they meet 750 meters away from the terminal
How long is the highway

1 ÷ (1 / 24 + 1 / 40) = 15 days
The length of this section of highway is 750 × 2 ^ (1 / 24 × 15-1 / 40 × 15) = 6000 meters