bill and jane are 1080 miles apart. They start driving towards each other at exactly the same time. Bill travels at 70 mph. Jane travels at 65 mph. How long must they drive before they meet?
each drives for time t and the sum of their distances is 1080
70 t + 65 t = 1080
135 t = 1080
8 hrs
To determine how long Bill and Jane must drive before they meet, we can use the formula:
Time = Distance / Speed
Since Bill and Jane are driving towards each other from opposite directions, we can treat their combined distance as a single entity. Thus, the total distance they need to cover is simply the sum of their distances, which is given as 1080 miles.
First, let's find out how long it takes for Bill to meet Jane. We can calculate this using the formula:
Time taken by Bill = Distance / Bill's speed
Time taken by Bill = 1080 miles / 70 mph
Simplifying the calculation:
Time taken by Bill = 15.43 hours (rounded to two decimal places)
Next, we'll calculate the time it takes for Jane to meet Bill. Using the same formula:
Time taken by Jane = Distance / Jane's speed
Time taken by Jane = 1080 miles / 65 mph
Simplifying the calculation:
Time taken by Jane = 16.62 hours (rounded to two decimal places)
Since they both start driving exactly at the same time, it will take the longer of the two calculated times for them to meet. In this case, Jane takes slightly longer, so we can round up to the nearest whole number.
Therefore, Bill and Jane must drive for approximately 17 hours before they meet.