SOLUTION: Hi mr Teo travelled at 40km per hour from A to B.if he increased his speed to 70km per hour, he would take 6 hours less to reach B. What was the distance between A and B. thank

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Question 1121844: Hi
mr Teo travelled at 40km per hour from A to B.if he increased his speed to 70km per hour, he would take 6 hours less to reach B. What was the distance between A and B.
thanks
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
distance=rate*time
D=40*t1
D=70*t2
t2=t1-6
Therefore, 40*t1=70(t1-6)
40t1=70t1-420
420=30t1
t1=14 hours
distance is therefore 40*14=560 km ANSWER
6 hours fewer is 8 hours and 70*8=560 km
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Hi
mr Teo travelled at 40km per hour from A to B.if he increased his speed to 70km per hour, he would take 6 hours less to reach B. What was the distance between A and B.
thanks
Let D be the distance

Then we get the following TIME equation: 

7D = 4D + 1,680 ------ Multiplying by LCD, 280

7D - 4D = 1,680

3D = 1,680

D, or distance =  

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