tom's work is 18km away, he starts walking to work at 5:30. He walks 4km every hour. His work opens at 9:00 will he be on time?

sue leaves home and ride her bike to work at 7:30. She rides 12km every hour. When does sue overtake tom. how far have they travelled?

Tom has 3 1/2 hours to get to work.

18/4 = 4 1/2 hours

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What do you think the answer to Sue's problem is?

We'll be glad to check your work.

sue takes 1 1/2 to ride to work,

okay i got that. but now when does sue overtake tony? does sue overtake it in 2hrs less than tom....
BUT HOW FAR DID THEY TRAVEL?

Here's how I attacked this problem.

When Sue started out at 7:30 she had traveled 0 km and had 18 km to go.

By 7:30, Tom had traveled 8 km and had 10 km to go.

At 8:30, Sue had traveled 12 km.
At 8:30, Tom had also traveled 12 km.

thank you so much sue. your the best. I think I am getting it

You're very welcome, Sam. I'm glad you understand. :-)

To determine if Tom will be on time, we need to calculate the time it takes for him to reach his workplace.

First, let's calculate the time it takes for Tom to walk 18 km at a pace of 4 km per hour. We can use the formula: Time = Distance / Speed.

Time = 18 km / 4 km/hour
Time = 4.5 hours

Since Tom starts walking at 5:30, we add 4.5 hours to this time to find out when he will arrive:

5:30 + 4.5 hours = 10:00

Therefore, Tom will arrive at his workplace at 10:00, which is one hour after it opens at 9:00. So Tom will be late for work.

Now let's move on to Sue. To find out when Sue overtakes Tom and how far they have traveled, we need to calculate their relative speed and the time it takes for Sue to catch up with Tom.

Sue's relative speed compared to Tom is the difference in their speeds.
Relative Speed = Sue's Speed - Tom's Speed
Relative Speed = 12 km/hour - 4 km/hour
Relative Speed = 8 km/hour

Next, we will calculate the time it takes for Sue to catch up to Tom using the formula: Time = Distance / Speed.

Since Sue starts at 7:30, the time she travels before catching up to Tom is:

Time = Distance / Relative Speed
Time = 18 km / 8 km/hour
Time = 2.25 hours

Therefore, Sue will catch up to Tom after 2 hours and 15 minutes, which can be converted to 2:15. To find out when Sue overtakes Tom, we add this time to her starting time:

7:30 + 2:15 = 9:45

Therefore, Sue will overtake Tom at 9:45. At that time, they will have both traveled the same distance of 18 kilometers.