I have to do this question in several ways like any possible way to do it so I've found one mathematical way, I can't do it like a physics question cause it's math.

Question

a bike travels at a constant speed of 10km/h. a bus starts 175 km behind the bike and catches up to the bike in 5 hrs. whats d average speed of the bus in km/h?

I went
Bike: 10*5= 50km/hr
Bus: 175+50km= 225km
225/3 = 75km/hr

I'd like to know all the other ways to come up with the answer and please simplify if possible so it's easy to understand thanks!

Answer 1

since the bus catches up 175 km in 5 hrs, that's a speed difference of 35 km/hr. So, the bus went 10+35 = 45 km/hr

Your solution is in error. It should be 225km/5 hr = 45 km/hr
(Also, the units are wrong in your 1st line: 10km/hr * 5 hr = 50 km, not 50km/hr)

another solution is to put a radar gun on the bus and read off its speed: 45 km/hr.

10*5 + 175 = 5s
50 + 175 = 5s
225 = 5s
45 = s