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

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1 Answer
Jan 19, 2018

x=96 km

Explanation:

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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