Question

Saul wants to bike 48 kilometers to taste some really good mangoes.

1. Write an equation that represents how many hours (t) the48km start text, k, m, end text trip will take if Saul bikes at a constant rate of r kilometers per hour.
2. How many hours will the48km48, end text trip take if Saul bikes at a constant rate of 20 kilometers per hour?
hours

Answer 1

Answer: 2.4 hours

Step-by-step explanation: t=time

r=rate so question one is equal to t=48/r

then question 2 is 48/20=2.4

Answer 2

`\textsf{1)} \quad t=(48)/(r)`

`\textsf{2)} \quad \sf 2.4\:hours=2\:hours\:24\:minutes`

Explanation:

Part 1

`\boxed{\sf Time=(Distance)/(Speed)}`

Given:

• Time = t hours
• Distance = 48 km
• Speed = r km/h

Substitute the given values into the formula:

`\implies t=(48)/(r)`

Part 2

Substitute r = 20 km/h into the derived equation from part 1 and solve for t:

`\implies t=(48)/(20)=2.4\: \sf hours`

Note: 2.4 hours = 2 hours 24 minutes