Answer:
The time required to travel the entire distance is 2.93 hour.
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
![v_(avg)=(v_(m)+m_(b)+m_(t)+m_(bi))/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/w1gh2r2h3306ue9p062a5shobn0l4khc0k.png)
Put the value into the formula
![v_(avg)=(75+60+50+20)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/jqdttvj090hc6tm874eidikr8klje7i9d1.png)
![v_(avg)=51.25\ km/h](https://img.qammunity.org/2020/formulas/mathematics/high-school/8hulrpxxxqj9s3gqg5v370c47drx48hpcj.png)
We need to calculate the time
Using formula of speed
![v=(D)/(t)](https://img.qammunity.org/2020/formulas/mathematics/high-school/sat8fraiqt27ry7iacswsxvvbihkljbh6q.png)
![t=(D)/(v)](https://img.qammunity.org/2020/formulas/mathematics/high-school/i6cb5rc3qw1ygcshu47v815iikfnql8ucd.png)
Where, D = total distance
t = time
Put the value into the formula
![t=(150)/(51.25)](https://img.qammunity.org/2020/formulas/mathematics/high-school/x2exa6hpac32cneqsh86h65bul5x4qh0x9.png)
![t=2.93\ hour](https://img.qammunity.org/2020/formulas/mathematics/high-school/moxv52p5rrqaa6fbat6ag4qazbsjvpq5pz.png)
Hence, The time required to travel the entire distance is 2.93 hour.