102k views
5 votes
Maria and Ming start at the same point and drive in opposite directions. Maria drives 69 mph and Ming drives 63 mph. How far apart will they be in 3 hours?

1 Answer

4 votes

Final answer:

Maria and Ming will be 396 miles apart after driving in opposite directions for 3 hours, since they are traveling at a combined speed of 132 mph (69 mph for Maria and 63 mph for Ming). Suppose two bodies are moving at a different speed in the same direction.Let the speed of 1st body be x km/hrAnd the speed of the 2nd body is y km/hr.So, their relative speed is = (x – y) km/hr [x > y]

Step-by-step explanation:

Maria and Ming start at the same point and drive in opposite directions. Maria drives at a speed of 69 mph while Ming drives at 63 mph. To find out how far apart they will be in 3 hours, we simply need to add their speeds together and then multiply by the time since they are driving in opposite directions and hence, their distances add up.

The combined speed of Maria and Ming is 69 mph + 63 mph = 132 mph. Now, to find out how far they will be apart in 3 hours, we multiply their combined speed by the time:

Distance apart = Combined speed x Time
= 132 mph x 3 hours
= 396 miles

Therefore, after 3 hours, Maria and Ming will be 396 miles apart.

We can define relative speed as the speed of a moving body with respect to another. When two bodies move in the same direction, their relative speed is computed by their difference. But when two bodies are moving in the opposite direction, the relative speed is calculated by adding the speed of both the bodies.

The difference between relative speed and relative velocity is that relative speed is the scalar quantity whereas relative velocity is the vector quantity.

User GregP
by
8.1k points