Question

Из поселка выехал велосипедист со скоростью 15 километров час через 3 часа вслед за ним выехал мотоциклист скорость которого в 4 раза больше скорости велосипедиста Через какое время мотоциклист догонит велосипедиста

Answer 1

1) велосипедист успел проехать 15км*3=45 км до того как выехал мотоцикл
2) скорость мотоцикла равна 15*3=45км/ч
3) пусть х это время через которое они встретелись тогда велосипедист проехал 15х+45км
а мотоцикл проехал 60х
так как они встретелись то их расстояния равны
15х+45=60х
45х=45
х=1час
ответ: через 1 час

Answer 2

Скорость мотоциклиста =15*4=60км/ч (60-15)*х=45 х=1час

Answer 3

Problem Analysis

We are given that a cyclist is traveling at a speed of 15 kilometers per hour. After 3 hours, a motorcyclist starts following the cyclist, with a speed that is 4 times greater than the speed of the cyclist. We need to determine how long it will take for the motorcyclist to catch up to the cyclist.

Solution

Let's denote the time it takes for the motorcyclist to catch up to the cyclist as t.

Since the motorcyclist starts 3 hours after the cyclist, the cyclist has already traveled a distance of 15 km/h * 3 h = 45 km.

Let's assume that the distance covered by the motorcyclist is d.

We know that the speed of the motorcyclist is 4 times greater than the speed of the cyclist. Therefore, the speed of the motorcyclist is 15 km/h * 4 = 60 km/h.

We can use the formula: distance = speed * time to relate the distance covered by the motorcyclist to the time it takes for the motorcyclist to catch up to the cyclist.

So, we have the equation: d = 60 km/h * t.

Since the distance covered by the cyclist is 45 km, we can also write the equation: d = 45 km + 15 km/h * t.

By equating the two expressions for d, we can solve for t.

Let's solve the equation:

60 km/h * t = 45 km + 15 km/h * t

60t - 15t = 45

45t = 45

t = 1 hour

Therefore, it will take the motorcyclist 1 hour to catch up to the cyclist.

Answer

The motorcyclist will catch up to the cyclist after 1 hour.