A distance of 150 km was covered by a motorcyclist traveling at a average speed of 75 KM/h by a bus 60 km/h a truck at 50 km/h and a bicyclist at 20 km/h how much time did it require to travel the entire distance

Respuesta :

Answer:

The time required to travel the entire distance is 2.93 hour.

Step-by-step explanation:

Given that,

Distance = 150 km

Speed of motorcyclist = 75 km/h

Speed of  bus =60 km/h

Speed of truck = 50 km/h

Speed of bicyclist = 20 km/h

We need to calculate the average speed

Using formula of average speed

[tex]v_{avg}=\dfrac{v_{m}+m_{b}+m_{t}+m_{bi}}{4}[/tex]

Put the value into the formula

[tex]v_{avg}=\dfrac{75+60+50+20}{4}[/tex]

[tex]v_{avg}=51.25\ km/h[/tex]

We need to calculate the time

Using formula of speed

[tex]v=\dfrac{D}{t}[/tex]

[tex]t=\dfrac{D}{v}[/tex]

Where, D = total distance

t = time

Put the value into the formula

[tex]t=\dfrac{150}{51.25}[/tex]

[tex]t=2.93\ hour[/tex]

Hence, The time required to travel the entire distance is 2.93 hour.

Answer:

Motorcyclist: 2 hours

Bus: 2.5 hours

Truck: 3 hours

Bicyclist: 7.5 hours

Step-by-step explanation: