What is the equation for the bus ride? Full question the description box below.

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Answer 1 · 2018-01-19T04:32:37

#x=96# km

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If the bus travels #x# km at #48# km/h then the number of hours it takes the bus to do that would be:

#x/48# hours

Much the same way, the number of hours it takes them to walk back the same distance #x# at #4.8# km/h would be:

#x/4.8# hours

If the entire round trip, including the #2# hours for lunch and rest, took #24# hours then we can write the equation:

#x/48+2+x/4.8=24# hours

Now, we can solve for #x#:

Let's take a common denominator and consolidate the left side:

#(x+96+10x)/48=24#

Let's multiply both sides by #48#:

#x+96+10x=1152#

#11x+96=1152#

#11x=1152-96#

#11x=1056#

#x=96# km