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Kim and Tom both cycle to work from their
homes, at the same speed. Kim lives 20 km
away from work, and Tom lives only 15 km
away from work. It takes Kim 1 hour more to
cycle to work than Tom. Determine how long
Tom takes to get to work.

Respuesta :

nadabhi05

Answer:

3 hours

Step-by-step explanation:

You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.

Time taken by Tom to get office is 3 hour

Given information:

Distance of office from Kim house = 20 km

Distance of office from Tom house = 15 km

Kim take 1 hour more

Find;

Time taken by Tom to get office

Computation:

Assume;

Time taken by Tom = a hour

So,

Time taken by Kim = (a + 1) hour

[tex]Speed = \frac{Distance}{Time}[/tex]

So,

[tex]\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3[/tex]

So,

Time taken by Tom = 3 hour

Learn more:

https://brainly.com/question/22610586?referrer=searchResults

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