Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
Now, distance travelled in 3 hours is (98-2) miles .
So,
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
Answer:
I used Desmos to graph it
First year the interest will be 6% x 8000= $480
second year the interest will be 6% x 8480= $508.80
third year the interest will be 6% x 8988.80=$539. 33
fourth year the interest will be 6% x 9528.13=$571. 69
the total amount that matthew's bank will receive is 8,000+480+508.80+539.33+571.69=$10,099.82