Question

Two friends live 7 miles apart.One Saturday,the two friends set out on their bikes at 8am and started riding towards eachother one rides at 0.2miles per minute,And the other rides at 0.15 miles per minute,At what time will the two friends meet

Answer 1

The two friends meet at
`8:20 \:\text {am}`.

Explanation:

Given: Two friends live
`7` miles apart. The two friends set out on their bikes at
`8` am and started riding towards each other one rides at
`0.2` miles per minute, and the other rides at
`0.15` miles per minute.

To find: The time when the two friends meet.

Solution:

Distance between two friends
`=7 \:\text{miles}`

Speed of one friend
`=0.2 \:\text{miles per minute}`

Speed of other friend
`=0.15 \:\text{miles per minute}`

Since, both are riding towards each other, the net speed will be
`0.2+0.15=0.35 \:\text {miles per minute}`.

We know that,
`\text{time}=\frac{\text{Distance}}{\text{Speed}}`

So, time taken to cover
`7 \:\text{miles}=(7)/(0.35) =20 \:\text{minutes}`

Now, both the friends set out on their bikes at
`8` am and started riding towards each other. So, the two friends meet after
`20` minutes.

Hence, the two friends meet at
`8:20 \:\text {am}`.