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Morgan travels 60 km by taking a very slow bus. Jordan travels 50 km by car but travels 20 km/h faster and takes one hour less. Calculate Morgan’s speed and time.

A. Morgan's speed is 10 km/h, and the time is 6 hours.
B. Morgan's speed is 10 km/h, and the time is 3 hours.
C. Morgan's speed is 15 km/h, and the time is 5 hours.
D. Morgan's speed is 15 km/h, and the time is 3 hours.

User Munificent
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1 Answer

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Final answer:

Morgan's speed is 10 km/h, and the time is 6 hours.

Step-by-step explanation:

To find Morgan's speed and time, we can set up two equations using the information given. Let's assume Morgan's speed is x km/h and Jordan's speed is (x + 20) km/h. We know that Morgan travels 60 km, so the equation can be written as:

60 = x * t

Where t is the time taken by Morgan to travel 60 km.

It's important to note that the solution provided above assumes that the given mass of the ball for the question scenario is correct, which could potentially confuse the student if this reference was not intended to be part of the answer.

Jordan travels 50 km, and his speed is 20 km/h faster than Morgan's speed. So the equation for Jordan can be written as:

50 = (x + 20) * (t - 1)

Simplifying these equations, we get:

x = 10 km/h

t = 6 hours

Therefore, Morgan's speed is 10 km/h, and the time taken is 6 hours. So, the correct answer is option A.

User Leo The Lion
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