Question

Samir begins riding his bike at a rate of 6 miles per hour. Twelve minutes later, Chris leaves from the same point and bikes along the same route at 9 miles per hour. How long after Chris begins riding does he catch up to Samir? 4 min 12 min 24 min 40 min

Answer 1

Answer:C

Step-by-step explanation: edge 2020

Answer 2

The correct option is C) 24 min.

Explanation:

It is given that:

Speed of Samir riding his bike = 6mph

Speed of Chris riding his bike = 9 mph

Let the time taken by Chris be x min. Then the time was taken by Samir be x+12

We know that the formula for the distance is

Where d is the distance, t is the time and r is the rate.

According to the question:

`9x=6(x+12)\\9x=6x+72\\9x-6x=72\\3x=72\\x=24`

Hence, after 24 minutes Chris will catch up to Samir.

Therefore the correct option is C) 24 min.