Question

Две снегоуборочные машины могут убрать снег за 6 часов.После 3 ч совместной работы , первую машину отправили в другой район города,а оставшаяся машина закончила уборку за 5 часов. За сколько часов каждая машина работая отдельно может выполнить всю работу.Помогите и расскажите решение пожалуйста,срочно нужно))))))

Answer 1

За 5 час. работы 2-я машина убрала оставшиеся 50% всего снега, следовательно весь снег каждая машина может убрать за 10 часов.

 

Answer 2

Problem Analysis

We are given that two snow removal machines can clear the snow in 6 hours when working together. After 3 hours of working together, one machine is sent to another area, and the remaining machine finishes the job in 5 hours. We need to determine how long each machine would take to complete the job individually.

Solution

Let's assume that the first machine takes x hours to complete the job on its own. Since the two machines working together can finish the job in 6 hours, the combined work rate of the two machines is 1/6 of the job per hour.

After working together for 3 hours, the remaining machine completes the job in 5 hours. This means that in those 3 hours, the two machines completed 3/6 or 1/2 of the job. Therefore, the remaining machine can complete 1/2 of the job in 5 hours.

To find the work rate of the remaining machine, we can divide the amount of work completed (1/2 of the job) by the time taken (5 hours). This gives us a work rate of 1/10 of the job per hour.

Since the combined work rate of the two machines is 1/6 of the job per hour, and the work rate of the remaining machine is 1/10 of the job per hour, we can subtract the work rate of the remaining machine from the combined work rate to find the work rate of the first machine.

Therefore, the work rate of the first machine is (1/6 - 1/10) = 1/15 of the job per hour.

To find the time it would take for the first machine to complete the job on its own, we can divide the amount of work (1 job) by the work rate (1/15 of the job per hour). This gives us a time of 15 hours.

Similarly, to find the time it would take for the remaining machine to complete the job on its own, we can divide the amount of work (1 job) by the work rate (1/10 of the job per hour). This gives us a time of 10 hours.

Therefore, the first machine can complete the job on its own in 15 hours, and the remaining machine can complete the job on its own in 10 hours.

Answer

Each machine, working individually, can complete the entire job in the following times: - The first machine takes 15 hours. - The remaining machine takes 10 hours.

Please let me know if you need any further assistance!