Question

dan goe from birmingham to coventry by bu. he take 5 minute to walk from hi houe to the bu top in birmingham. he take 20 minute to walk from the bu top in coventry to work. dan ha to get to work by 10.30 am. what i the latet time dan hould leave hi houe to get to work on time?

Answer 1

Dan should leave his house at 10:05 am at the latest to arrive at work on time at 10:30 am.

Step-by-step explanation:

If Dan needs to be at work by 10:30 am, he should leave his house with enough time to account for the 5-minute walk to the bus stop, the bus ride duration, and the 20-minute walk from the bus stop to his work. Let's say the bus ride takes x minutes. Therefore, his total commute time can be expressed as 5 minutes (walk to the bus stop) + x minutes (bus ride) + 20 minutes (walk from the bus stop to work).

Since we know he needs to be at work by 10:30 am, we can set up the equation 5 + x + 20 = 10:30, or 25 + x = 10:30. To isolate x, we subtract 25 from both sides, resulting in x = 10:30 - 25 = 10:05. Therefore, the bus ride takes 10 minutes and 5 seconds.

Now we can determine the latest time Dan should leave his house by subtracting the total commute time from when he needs to be at work. 10:30 - 5 (walk time in Birmingham) - 10:05 (bus ride time) = 10:30 - 5 - 10:05 = 10:10 - 10:05 = 5 minutes.

In conclusion, Dan should leave his house at 10:05 am at the latest to arrive at work on time at 10:30 am.