Question

Мотоцикліст за 4 год проїхав 260 км. Велосипедист був у дорозі 6 год. Швидкість його руху у 5 разів менша,ніж швидкість мотоцикліста. На скільки більше км проїхав мотоцикліст за 4 год,ніж велосипедист за 6 год?

Answer 1

260 :4=65(км/год) - швидкість мотоцикліста;
65 :5=13 (км/год) - швидкість велосипедиста;
13*6=78 (км)- відстань, яку проїхав велосипедист за 6 год;
260-78=182 (км)- більше проїхав мотоцикліст.

Answer 2

Calculation of Distances Traveled

To find out how much farther the motorcyclist traveled compared to the cyclist, we need to calculate the distances traveled by each of them.

Given: - The motorcyclist traveled 260 km in 4 hours. - The cyclist was on the road for 6 hours. - The speed of the cyclist is 5 times slower than the speed of the motorcyclist.

Let's calculate the distance traveled by each of them:

1. Distance traveled by the motorcyclist: - Speed = Distance / Time - Distance = Speed * Time - Distance = 260 km (given) - Time = 4 hours (given) - Speed = Distance / Time = 260 km / 4 hours = 65 km/h

Therefore, the motorcyclist traveled 260 km in 4 hours at a speed of 65 km/h.

2. Distance traveled by the cyclist: - Speed of the cyclist = 1/5 * Speed of the motorcyclist - Speed of the cyclist = 1/5 * 65 km/h = 13 km/h

To find the distance traveled by the cyclist, we can use the formula: - Distance = Speed * Time - Distance = 13 km/h * 6 hours = 78 km

Therefore, the cyclist traveled 78 km in 6 hours at a speed of 13 km/h.

Comparison of Distances Traveled

Now, let's compare the distances traveled by the motorcyclist and the cyclist:

- Distance traveled by the motorcyclist in 4 hours: 260 km - Distance traveled by the cyclist in 6 hours: 78 km

To find the difference in distances, we subtract the distance traveled by the cyclist from the distance traveled by the motorcyclist:

- Difference = Distance traveled by the motorcyclist - Distance traveled by the cyclist - Difference = 260 km - 78 km = 182 km

Therefore, the motorcyclist traveled 182 km more than the cyclist in the given time period.