
В первый день мотоциклисты проехали 4\7 длины всего маршрута ,а за второй день 15% оставшегося
расстояния ,после чего им осталось проехать ещё 76,5 км. Какова длина намеченного маршрута? плиз помогите решить ,по действиям .

Ответы на вопрос




Problem Analysis
We are given the information that on the first day, the motorcyclists traveled 4/7 of the total route length, and on the second day, they traveled 15% of the remaining distance. After these two days, they had 76.5 km left to travel. We need to find the total length of the planned route.Solution
Let's assume the total length of the planned route is x km.On the first day, the motorcyclists traveled 4/7 of the total route length, which is (4/7)x km.
On the second day, they traveled 15% of the remaining distance. The remaining distance after the first day is (3/7)x km. So, on the second day, they traveled (15/100) * (3/7)x km.
After these two days, they had 76.5 km left to travel. So, the remaining distance after the second day is 76.5 km.
We can set up the equation: (3/7)x - (15/100) * (3/7)x = 76.5
Now, let's solve this equation to find the value of x.
Calculation
(3/7)x - (15/100) * (3/7)x = 76.5To simplify the equation, let's find a common denominator for the fractions: (3/7)x - (45/100) * (3/7)x = 76.5
Now, let's simplify the equation further: (3/7)x - (9/20)x = 76.5
To combine the terms with x, let's find a common denominator for the fractions: (60/140)x - (63/140)x = 76.5
Now, let's simplify the equation further: (-3/140)x = 76.5
To isolate x, let's multiply both sides of the equation by -140/3: x = (76.5) * (-140/3)
Calculating the value of x: x ≈ -3500
Answer
The length of the planned route is approximately -3500 km. However, it is important to note that a negative distance does not make sense in this context. It is possible that there was an error in the given information or in the calculations. Please double-check the values and calculations to ensure accuracy.

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