SOLUTION: while waiting for a train, bong takes a bus ride at 60 kph to a certain point and then walks back leisurely at 10 kph. The bus takes 15 minutes less than his walking. how far has h

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Question 202364: while waiting for a train, bong takes a bus ride at 60 kph to a certain point and then walks back leisurely at 10 kph. The bus takes 15 minutes less than his walking. how far has he walked and for how long?
this what i did:
d=60(15-t)
d=10t
d=900-60t
60t+10t=900-60t i transposed the 60t
70t=900 and i divide both sides by 70 but i cant get the answer for the 900
Please if you can even include how to get the answer thanks in advance

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
You're on the right track, but have an error in the logic used to represent the bus ride time
Let t be the time it takes to walk in hours. Then bus ride time is t-15%2F60 (remember your time needs to be in the same units. So we have to convert 15 minutes into hours)
You know that Distance=Rate+%2A+time
And you also know the distance is the same in both directions.
So BusDistance+=+WalkingDistance
BusRate%2ABusTime+=+WalkingRate%2AWalkingTime
60+%2A+%28t-%281%2F4%29%29+=+10%2At <--- this is where your error in bustime messed you up
60t+-+15+=+10t
50t+=+15
t+=+0.3 hours
That's 18 minutes.
If Bong walks at 10kph for 0.3 hours, thats Distance+=+%2810k%2Fh%29%2A0.3h = 3k