Respuesta :
Answer:
The two friends meet at [tex]8:20 \:\text {am}[/tex].
Step-by-step explanation:
Given: Two friends live [tex]7[/tex] miles apart. The two friends set out on their bikes at [tex]8[/tex] am and started riding towards each other one rides at [tex]0.2[/tex] miles per minute, and the other rides at [tex]0.15[/tex] miles per minute.
To find: The time when the two friends meet.
Solution:
Distance between two friends [tex]=7 \:\text{miles}[/tex]
Speed of one friend [tex]=0.2 \:\text{miles per minute}[/tex]
Speed of other friend [tex]=0.15 \:\text{miles per minute}[/tex]
Since, both are riding towards each other, the net speed will be [tex]0.2+0.15=0.35 \:\text {miles per minute}[/tex].
We know that, [tex]\text{time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
So, time taken to cover [tex]7 \:\text{miles}=\frac{7}{0.35} =20 \:\text{minutes}[/tex]
Now, both the friends set out on their bikes at [tex]8[/tex] am and started riding towards each other. So, the two friends meet after [tex]20[/tex] minutes.
Hence, the two friends meet at [tex]8:20 \:\text {am}[/tex].
